Posted on behalf of Gil Strang: This is my chance to thank everyone for such generous messages about my last lecture at MIT. I am almost tempted to have second thoughts about retirement ....... but it is the right time. Teaching has been a wonderful life. And I am so grateful to everyone who likes linear algebra and sees its importance. So many universities ( and even high schools ) now appreciate how beautiful it is and how valuable it is. That movement will continue because it is right. I thank you for your good thoughts. I appreciate them more than I can say. Very best wishes in all your work Gil
I Love Gil's enthusiasm! And appreciate his brilliant insights and tricks of the trade with Matrix decompositions e.g. SVD , LU etc. - just when you think "it's all been done" BOOM Gil nails a new one! Ps> Long live Gil, Long live Linear Algebra, Long live the Julia language! 👍😁👍
Prof. Strang I just want to say thank you, your video has changed my life. From the moment that I finished watching your course on I started to love to learn math.
Год назад+6
I watched his lectures as a computer science student in Serbia, through MIT's open courseware platform. They were incredible and changed my perspective on many things, including whether to continue in academia or go to industry. It helped me decide to pursue a masters program at ETH Zürich, where I graduated with honors and then went on to Google where I still work as a machine learning team lead in search quality. Thank you professor Strang! You really had a profound impact on the course of my life.
I was a mathematics student some years ago But I changed my path to medical studying and I am a doctor now After 10 or more years I happily sit and listen and learn and feel algebra again So I say thanks professor For your time for your passion and dedication I hope this message finds all you well and wish nothing but good health and long life for you ❤ Special thanks to MIT OCW for broadcasting this beautiful lecture
It was a pleasant surprise that I came across this video, and more pleasant to listen to this masterclass. Thank you, Professor. Wish you enjoy your retired life happily and in good health.
I have been watching this man’s videos ever since the beginning of university, ever since I even discussed linear algebra and I always look back to them as reference! You have always been a life saver Professor Strang, enjoy your retirement!!
Wonderful teaching style, I'm returning to education much later in life after leaving it young, Gil's approach makes advanced math concepts accessible and have watched many of his lectures and other MIT Lectures from Ireland, it's a truly wonderful resource to experience these classes and get fired up when something clicks Thank You, Professor Strang, have a very happy retirement.
Thank you for your lectures professor. I've been watching them since 2007. You will never be forgotten. You are a legend. I am so grateful for you sharing your teachings with us. My very best wishes to you.
Thank you, Dr. Strang. Watching your Linear Algebra lectures on OpenCourseWare was how I passed Linear Algebra here despite sleeping past most of my prof's 8am lectures. Perhaps the great irony is that we used your textbook while you didn't?
I wish i had a prof like this. He actually explains that stuff. Mine gives us a couple sheets of paper of a topic (without examples) expects us to learn it in advance and in the actual lecture he does an exercise but doesnt explains what or why hes doing it. I always thought MIT was so hard but after seeing this i want to go to MIT.
Universe wants u to learn math. Welcome to physics , maths and everything that stays consistent. If u truly understand what's going on here . I promise u .U can become a baby god barely understanding anything yet not ignorant at all .
Being an old teacher myself, Professor Strang always was my OCW indispensable teacher and a roll model to anyone in our profesion. I met personaly Dr. Strang in a meeting in Morelia, Mexico long time ago, and i was touched for his kindness. Hope you'll have a long and happy life. I can't say enough how much I thank you
Professor Strang I had the honor of attending your lectures back in 1986 as a graduate student at MIT and it was such a wonderful and enlightening experience. You signed me a very kind dedication in your book that I will always treasure. I never forgot you and I never will. I wish you the very best
@@juliogaleano2063I believe he was curious sir, the way we all are about stories that we come across in life. I personally believe you did a fantastic job by teaching people in your country I really admire that and thank u for your services ❤
I’m so grateful to live in a time when I can be exposed to this level of understanding and teaching. I struggled through linear algebra in college and here I am 30 years later watching this- learning from someone who I only wish I could have had as a professor. Thank you professor, the world is a better place with you in it
I thought Professor Strang's course was great when I took it in 1998. I still have his book. And I was a working physicist then that already knew linear algebra and used it. He brought out the coolness of matrix algebra. Which I still have. Professor Strang is my mother's age. She passed 20 years ago and I retired 4 years ago. It's fun to see someone who likes what they do enough to work at it forever.
@@quentin2578 I was 40 years old when I took the course. I was working at an MIT laboratory and the course was free for me. I heard it was a good course and the timing was convenient. Honestly, I didn't need any of it and it didn't change anything about how I used linear algebra but it was still cool to hear Strang's presentation. So I sat through the whole semester.
@@sgravina Thanks for your genuine reply. Even though you were acquainted with the theory, it must have been a great and/or memorable experience to be in that environment during the personal computer/e-mail/internet technology revolution, right? Especially when surrounded with lecturers that have great analogies to better teach one math and physics. I may have a distorted view. I am an eighteen-year-old student from the Netherlands and could not dream of a better time to be in college then during those days. No social media, a lot of face-to-face communication or simply telephone calls, studying entirely via books and libraries; man, I wish I was there.
Dear Prof. Gil, I wanted to express my sincere appreciation for the last lecture of your online class on linear algebra at MIT. Your expertise and passion for the subject truly shine through in your teaching. The clarity and depth of your explanations made the complex concepts accessible and engaging. Your dedication to your students' understanding is truly commendable. Thank you for inspiring me and igniting a curiosity for further exploration of linear algebra. Your genuine care for your students and willingness to address questions have left a lasting impression on me. I am grateful for the opportunity to be a part of your class and will carry the knowledge and insights gained from your lecture throughout my academic and professional journey. With gratitude, Fariba ♥♥♥♥♥♥♥♥
@@sarithasaritha.t.r147 jokes on you- I made this comment without the confidence yet hoped that it would garner a response directly from MIT allowing the commenter the assurance their message will be received.
I had to pay for college out of my own pocket, without any financial aid, I had three part time jobs and little room to sleep. I used to watch videos to go to sleep (math and Physics primarily). I remember watching the Strang's linear algebra series before I took the class myself. I went on to get a perfect in the class and I cannot help but feel so grateful to all his work and dedication. Thank you!!!
@@mysteriousshadow395 Not if your parents make $$$ and don't share. Can't qualify for low interest loans then either. And loans aren't truly financial aid- they are a noose. Perhaps they were trying to keep the debt down? I've had more than one friend who was utterly screwed from '18 and you're out' parents.
@@b0benis i think maybe he means he went to an other unviersity with lower fees and just watched strang's videos before attending the linear algebra class at that other university
An entire generation of linear algebra learners will be indebted to you professor Strang. Heartfelt thanks for your passion towards the subject. Wishing you a great retirement life with your nearest and the dearest ones. Also, a big big thanks to MIT for being so generous in making these priceless video lectures available for the students worldwide!
I teared up watching him say thank you at the end. we all wish we could accomplish something in life that is appreciated for years, and gilbert strang did more than that, and inspired thousands of people to purse math, study the subject, and teach others.
DITTO likely hundreds like you ... as an engineering student in 1960's I have 'blitzed' the Linear Algebra course ( many have not ... LOL! ) - but when I discoverd Gilbert Strang at MIT on line ( likely in the late 90's I think) - and I decided to 'amuse' myseslf, even though I have left engineering and math world in the mid-1970's, and to my great AMAZEMENT I found out that, as an undegrad, I actually I never fully undestood the Linear Algebra ! WHAT AN AMAZING LECTURER ! Sadly, the universities now focus on 'diversity', 'euality' and other dumb NON-SENSE, and the STEM America's much behind the world , by a light year !
@@TheVeritas2100 Your comment made me realize that Prof. Strang’s use of the internet as an archive of his teaching lasted decades. Truly a farsighted man, ahead of his time. (As for your last paragraph, let’s try to keep things lighthearted and congratulatory, we’re here to celebrate Professor Strang, not to criticize other academics).
@@thispersonwriting1889 ****as for YOUR last paragraph**** - IT IS VERY SAD THAT The Harvards, The Yales , etc. are now DESTROYING the great American Universities culture , with the LGBTQFU2plus and other WOKEness crap ... 😞 - when they are appointing the LGBTQU2plus Presidents who are are cheaters, not qualified, dumb, plagiarsers, and/or political hacks - INSTEAD OF THE REAL QUALITY PROFESSIONAL ACADEMICS !!!!
Dear Prof. Stang, as a faculty member of AI in Sharif University of Technology (Iran) I wanted to express my deep admiration for your linear algebra course, which I thoroughly enjoyed and have enthusiastically recommended to my students. Teaching math in a way that instills a love for the subject is a challenging task, much harder than solving complex equations. But your teaching style effortlessly achieves this. I would also like to congratulate you on your lifelong contributions to science, which have had a profound impact on the advancement of knowledge. Thank you for your dedication and inspiration.
87 years old man teaching with such clarity. Remarkable! Unbelievable! Madness!! Thank you, Mr Gilbert. You help me to transition from Biology undergrad to physics . I will forever be indebted to you. I rediscovered my love for mathematics from you. You sir, are a legend of a kind. I love my life now. Thank you so much.
I had the pleasure of attending your seminar 2 years back, and had a very insightful discussion. Thank you for saving my introductory linear algebra course, which led me to pursue numerical linear algebra and AI research.
That is absolutely incredible to have such powers of faculty at age 89, let alone killing it as an all-star Professor. Congrats on a career at MIT spanning 6 decades.
Thank you very much, Prof Strang. Back when I was a student at my uni, I was going through some tough financial times and couldn't make it to the campus for lectures. But guess what? You came to the rescue! Your amazing lectures on OCW helped me not only snag an A+ for linear algebra but also lend a hand to a bunch of other students who were struggling. From the depths of my heart, I send you warm wishes and profound gratitude. Thank you for being such an incredible teacher, and role model. Your legacy will continue to inspire future generations of mathematicians around the world. Happy retirement sir. Lots of love from Sri Lanka.
In a few minutes, I was able to grasp concepts that I couldn’t some 40 years ago. This is a testament to how masterful a teacher Professor Strang is. Thank you for helping an older guy like me “see the beauty” of linear algebra. Best of luck and enjoy your well deserved retirement..
"If I have seen further than others, it is by standing upon the shoulders of giants."-Issac Newton.... Professor Gilbert Strang you are the giant that students across the world will always stand on. These videos will immortalize your immaculate lectures. Thank you sir for devoting your life to teaching and giving students hope amongst their struggles. The future will be a better place because of humans like you.
Without prof. Strang ‘s lectures I could’ve never passed my own linear algebra class ten year ago. A millions thanks❤ and wish you a peaceful and happy retired life!
⏱Timestamps for this video! 0:00 - Introduction to the class event 10:05 - Alan Edelman's speech about Gilbert Strang 12:57 - Gilbert Strang's introduction 15:42 - Solving linear equations 30:42 - Visualization of four-dimensional space 31:37 - Nonzero Solutions 32:16 - Finding Solutions 34:19 - Elimination Process 41:05 - Introduction to Equations 42:26 - Finding Solutions 44:29 - Solution 1 47:42 - Rank of the Matrix 51:39 - In appreciation of Gilbert Strang 52:08 - Congratulations on retirement 52:38 - Personal experiences with Strang 55:01 - Life lessons learned from Strang 1:01:08 - Gil Strang's impact on math education 1:01:44 - Gil Strang's teaching style 1:02:20 - Gil Strang's legacy 1:03:23 - Congratulations to Gil Strang 🧙♂✨ Generated with Houdini Chrome extension.
This guy carried me through my class, and probably saved many others taking Linear Algebra too. Highest respects to them, and may they enjoy their retirement!
I took Professor Strang’s course at MIT over 30 years ago. It was a very memorable experience as he spoke so straight forward but yet profound. I still have his text book. Congratulations to him for an amazing 61 years of teaching students.
Although I am not a MIT student, I have been watching Mr.Strang’s lecture for several times on RUclips and I am thankful for all lectures provided by him. Was an honor to watch such enormous lectures. Respect Mr. Strang, from Korea.
Seeing this last lecture from Mr. Strang made me realise just how dedicated and caring the teachers at MIT are. I wish you a happy retirement post teaching life. Thank you sir. Love from India. ❤
In the realm of mathematics, a luminary shines, Gilbert Strang, a soul of boundless lines. With elegant grace, his words do flow, Unraveling secrets that numbers bestow. In lecture halls, his voice resounds, A symphony of wisdom that astounds. He weaves matrices and vectors, so profound, Creating symmetries where solutions are found. Through Linear Algebra's intricate dance, He unveils the beauty of matrices' expanse. Transformations and spaces, he unveils their might, Guiding seekers toward mathematical light. A teacher, mentor, with compassion so true, Gilbert Strang, a guiding star, we pursue. His passion for learning, forever ablaze, Igniting minds, illuminating endless pathways. His legacy inscribed in minds he's touched, A catalyst for minds that were once clutched. Gilbert Strang, your impact shall endure, A maestro of numbers, forever pure!
Thank you Prof Gilbert Strang for the lectures and textbook on linear algebra. 13 years ago after graduating from high school, Prof Strang's 18.06 MIT OCW series was the first lecture series I watched while waiting to study university math. His lectures emphasised the different ways to think about linear algebra instead of just dry formulas. To this day, I still remember and use his column picture and row picture of matrix multiplication (each column of AB is a linear combination of columns of A) - this is seldom taught elsewhere but it really helped made a lot of reasoning with matrices and linear algebra a lot more intuitive. Used these pictures many times even when learning more advance math and my classmates seldom know about it.
I remember taking this course midway through my undergraduate career (after the main maths sequences). Holy crap, this dude was such a beast and I loved his lectures. I can't pinpoint why his lectures resonated with me but they did and I am forever grateful.
I took linear algebra at the University of Texas in 2008. My professor knew how awesome professor Strang’s lectures are and told us all to watch them in addition to attending the in class lectures. They were immensely helpful.
Sending love from a Chinese student! When I was a freshman in Australia, my English skills weren't great, and I had trouble understanding some of the content in my linear algebra course. Gil's book was the first book I read in English, and it made a huge difference. His course and book were super helpful, and I ended up acing linear algebra with a H1 (like an A+ in the US). And it's not just about the grade-I genuinely gained a deeper understanding of linear algebra thanks to his book.
Mathematics probably saved my life. Still do, everyday. Here's my drop in the ocean of the internet. I had a near-deadly accident 4 years ago, drowned, and I'm now quadruplegic - not self-sufficient by any stretch of the meaning. Shortly after ICU I started dulling my mind with endless youtube binging. I went from being a pianist, a swimmer, a dancer, a passionate and physical person... to being none of these things. A bag of meat without purpose. However, the algorithm pushed mathematical content. Even though it was all monadic pieces of content, at some point the algorithm suggested a video of professor Strang. Shaky, dusty old man who radiated somehow both the vibes of a grandpa and of a delighted child - and suddenly my aimless wandering had run into structure. It was an actual class, with subsequent classes, it required me to understand before I could move forward. I had found something I could actually learn. I sank my teeth into the subject, felt purpose again. No, the story does not end with me becoming a succesful mathematician, I just took 2 exams and moved to statistics because it resonated more strongly with me, my real-life gratitude to this man is simply due to his attitude of welcoming ignorance, in a non-derogatory meaning. Of welcoming inferiority and allowing me to undeerstanding that all inferiority is sectorial. Maths made me no longer feel entirely inferior due to my disability, just sectorially inferior. That's all I needed to feel like I could carry on. Thank you, and sorry for the weird stream of consciousness. Thank you and thank math
For me, the teacher is most noble profession that exists. All teachers have my utmost respect. And this legend, still doing what he loves at an age that most are already retired, deserves all the applause and a wonderfull retirement. May he live long and happily.
I was taught the matrix described as squired group of numbers organized within parenthesis, them we were made sustract, multiply, etc, until we get the result. But never explain the root , nor even understand why we use the matriix, I included my classmates learned the mechanical way to resolve a matrix, not in a logical, meaningful way. As students, i get used to memorize and do the matrix in a mechanical way, get a pass score, without really understand. THIS CLASS is completely different. THANK YOU PROFESSOR GILBERT STRANG, ALAN EDELMAN, GRINFELD, GOEMANS.
Thanks professor Gilbert for all you have done for the world of math. I have been introduced by your lectures to linear algebra about 5 years ago. and since then my grasp and understanding not only of math but of everything, has all changed drastically. You have changed my view and how I perceive the world. Big thanks from Egypt and Congratulations on your retirement!
Professor Strang’s Linear Algebra book was the single best text I used in my entire academic career. My friend was struggling through LA, which was a requirement for her CS degree. I lent her my copy of Strang’s book, and it got her through the class (and on into a successful career as an SDE.). Thank you professor Strang.
I'm from India, and I had never heard of this gentleman until I stumbled upon this video. On learning this was the broadcast of the last lecture of a legendary teacher, I listened to the entirety of it with the utmost respect for him. Couldn't help but get emotional towards the end when everyone clapped for him. I wish him a happy and healthy retirement.
Words fail to express the overwhelming emotions that stir within me as I watch Gil Strang's final lecture. At the age of 88, after dedicating a lifetime to the pursuit of knowledge, his retirement brings tears of admiration and gratitude to my eyes. The depth of his wisdom and unwavering passion is a testament to the extraordinary impact he has had on countless lives. Sir, your dedication and love for the subject have touched my heart in ways I can't fully articulate. You have shown me the beauty of a lifelong journey of learning and the profound difference one person can make. As you gracefully step away from the lectern, please know that you have left an indelible mark on the world of mathematics and on the hearts of aspiring learners like myself. Thank you for sharing your remarkable journey with us and inspiring generations to come.
I love this man. He gave me the confidence to do mathematics again after I dropped out of college. He deserves all the amazing energy he's received now and throughout the years. Stay blessed, Professor Strang!
His lectures motivated me to learn linear algebra when I was 73years.I then used it to teach my grand daughter at a UC....it was absorbing interesting and motivating....every lecture session.Thanks Prof and my virtual Guru in Lin Algebra.
Fesser- congrats on teaching a complex subject at such a high level over so many years. Thx to MIT for allowing this open course to be broadcast to the public. NOW that I'm retired I enjoy learning from videos like this. Would be GREAT if you could do RUclips videos for public consumption, it would be a contribution to humanity! Good luck & continued success!
It was only because of Professor Strang's text and my professor's wisdom in selecting that text that I aced Linear Algebra. Kudos to MIT to ensuring that his wisdom and pedagogical skill remain with us long after his retirement.
Thank you Prof Gil Strang for all I have learned and keep learning from your lectures and for making your contents the first on OCW freely!!! All I have for you is love, great admiration and debt of gratitude Sir.
Dear Professor Strang, I wanted to take a moment to express my profound gratitude for the exceptional journey through 18.06 course. Your lectures have been nothing short of transformative, rekindling my love for mathematics in a way I never thought possible. Your unique approach to teaching, blending clarity with enthusiasm, has made complex concepts accessible and engaging. The way you explain things, breaking down intricate ideas into digestible parts, is a testament to your deep understanding and passion for the subject. It's not just about solving equations; it's about seeing the beauty and logic behind them, which you've illuminated brilliantly. Your dedication and effort in each lecture have inspired and motivated me. You've shown that mathematics is not just a tool but a language of the universe, full of wonder and discovery. I feel incredibly fortunate to have learned from someone who embodies the essence of a true educator. Thank you for being the catalyst that reignited my passion for math. Your impact on my academic journey is immeasurable, and I will carry the lessons learned and the enthusiasm rekindled forward into my future endeavors. With deepest gratitude, Fahad
The best channel on RUclips A platform for spreading science, culture and knowledge With the aim of developing societies and enhancing the capabilities of university students around the world ❤
Posted on behalf of Gil Strang:
This is my chance to thank everyone for such generous messages about my
last lecture at MIT. I am almost tempted to have second thoughts about retirement .......
but it is the right time. Teaching has been a wonderful life.
And I am so grateful to everyone who likes linear algebra and sees its importance.
So many universities ( and even high schools ) now appreciate how beautiful it is and
how valuable it is. That movement will continue because it is right.
I thank you for your good thoughts. I appreciate them more than I can say.
Very best wishes in all your work Gil
Heartfelt 😭
Strang, thank you so much! We owe you years of joy for such inspiring lectures and books, never to be forgotten.
Best regards from Brazil
I Love Gil's enthusiasm! And appreciate his brilliant insights and tricks of the trade with Matrix decompositions e.g. SVD , LU etc. - just when you think "it's all been done" BOOM Gil nails a new one! Ps> Long live Gil, Long live Linear Algebra, Long live the Julia language! 👍😁👍
there is always the prospect of doing more RUclips video's from the comfort of your home , living the RUclips life :-)
Prof. Strang I just want to say thank you, your video has changed my life. From the moment that I finished watching your course on I started to love to learn math.
I watched his lectures as a computer science student in Serbia, through MIT's open courseware platform. They were incredible and changed my perspective on many things, including whether to continue in academia or go to industry. It helped me decide to pursue a masters program at ETH Zürich, where I graduated with honors and then went on to Google where I still work as a machine learning team lead in search quality.
Thank you professor Strang! You really had a profound impact on the course of my life.
I was a mathematics student some years ago
But I changed my path to medical studying and I am a doctor now
After 10 or more years
I happily sit and listen and learn and feel algebra again
So I say thanks professor
For your time for your passion and dedication
I hope this message finds all you well and wish nothing but good health and long life for you ❤
Special thanks to MIT OCW for broadcasting this beautiful lecture
It was a pleasant surprise that I came across this video, and more pleasant to listen to this masterclass. Thank you, Professor. Wish you enjoy your retired life happily and in good health.
I have been watching this man’s videos ever since the beginning of university, ever since I even discussed linear algebra and I always look back to them as reference!
You have always been a life saver Professor Strang, enjoy your retirement!!
Wonderful teaching style, I'm returning to education much later in life after leaving it young, Gil's approach makes advanced math concepts accessible and have watched many of his lectures and other MIT Lectures from Ireland, it's a truly wonderful resource to experience these classes and get fired up when something clicks
Thank You, Professor Strang, have a very happy retirement.
Thank you for your lectures professor. I've been watching them since 2007. You will never be forgotten. You are a legend. I am so grateful for you sharing your teachings with us. My very best wishes to you.
Gilbert Strang is simply the best. I learned a lot from his Linear Algebra classic course.
I learned Linear Algebra in 2011 by watching his videos. Thanks Dr. Strang.
Thank you, Dr. Strang. Watching your Linear Algebra lectures on OpenCourseWare was how I passed Linear Algebra here despite sleeping past most of my prof's 8am lectures. Perhaps the great irony is that we used your textbook while you didn't?
Just one word for him a "Legend"
Hello dear
World needs teachers like you!
Great teacher for sure. I wish I had teachers like him at university, buy hey, I can still take the course on line and also read his books.
Thank you Gil. It is my great honor to have the course. Salute!
His online courses and books made me to fall in love with math.
The legends never retired. they became the history
Can’t believe he retired, I remember watching his RUclips video on step functions as an undergraduate
I wish i had a prof like this. He actually explains that stuff. Mine gives us a couple sheets of paper of a topic (without examples) expects us to learn it in advance and in the actual lecture he does an exercise but doesnt explains what or why hes doing it.
I always thought MIT was so hard but after seeing this i want to go to MIT.
A good person for MIT and our world
Great video,.awesome Human been Prof Gil. 👏👏👏👏🎉🌟
Thank you, Dr. Strang's, thank you.
I really like the revolving white boards, so much more engaging than my lecturers that read through a slide then it’s gone
Even Tony Stark should feel proud to have had a teacher as Gil Strang 🙏🏻
Thanks Prof Strang. Have a wonderful retirement life!
Well done prof ♥ Tgank you ♥
Any INDIAN here ❤❤
Yupp
Jai Shri Ram❤❤🚩🚩🙏🙏
Here I am.
Yy ❤
Here Mr. Jack cong
what am I doing here.
Procrastinating?
Universe wants u to learn math. Welcome to physics , maths and everything that stays consistent. If u truly understand what's going on here . I promise u .U can become a baby god barely understanding anything yet not ignorant at all .
welcome home
😅😅😅same
Smoked too much weed I’m guessing
what a legend retired after 61 years of teaching at MIT . RESPECT 🙌👏👏
He's still as interesting as he was young
63
@@seanli3757 😮😮😮😊😊😊
OK
無超過易經
Being an old teacher myself, Professor Strang always was my OCW indispensable teacher and a roll model to anyone in our profesion. I met personaly Dr. Strang in a meeting in Morelia, Mexico long time ago, and i was touched for his kindness. Hope you'll have a long and happy life. I can't say enough how much I thank you
Professor Strang I had the honor of attending your lectures back in 1986 as a graduate student at MIT and it was such a wonderful and enlightening experience. You signed me a very kind dedication in your book that I will always treasure. I never forgot you and I never will. I wish you the very best
So are you retired now? What you did after your graduation?
@@sam-avni I taught in Argentina my native country for many years in the area of computer science and FEM not algebra. Why?
@@juliogaleano2063I believe he was curious sir, the way we all are about stories that we come across in life. I personally believe you did a fantastic job by teaching people in your country I really admire that and thank u for your services ❤
@@puneettripathi740 thank you very much for your kind words. Where are you from?
@@juliogaleano2063 I am from Bharat sir.😊🙏
GIl's lecture was probably the first time I realized the difference between MIT and other universities.
It is the difference between Prof. Strang and other universities.
no
strang is great, but i think that’s speaking a bit too broadly to categorize MIT that way
Were you at all “the other” universities? He’s a legend, but there are exceptional lecturers in may parts of the world.
@HikariOfficialSoutjAfricaFanclub do you mind recommending some please
Professor Strang's Linear Algebra Lecture is a real treasure. May Professor Strang has a wonderful retire life! Salute.
黑手哥也学线代啊
头像真没绷住
@@jwshao8915 Do you dare to bihuabihua with me?
@@KhamPCcc small puxxy cub
He was already retired. To him, it is passion. :) he's almost 90!
I’m so grateful to live in a time when I can be exposed to this level of understanding and teaching. I struggled through linear algebra in college and here I am 30 years later watching this- learning from someone who I only wish I could have had as a professor. Thank you professor, the world is a better place with you in it
I failed my linear algebra course. Then, learned it again from professor Strang's lecture here on youtube.
I wish I had this video back when I took linear algebra. The teacher I had was so bad he couldn't teach a dog to roll over.
I thought Professor Strang's course was great when I took it in 1998. I still have his book. And I was a working physicist then that already knew linear algebra and used it. He brought out the coolness of matrix algebra. Which I still have. Professor Strang is my mother's age. She passed 20 years ago and I retired 4 years ago. It's fun to see someone who likes what they do enough to work at it forever.
It's his ikigai
You must have done well if you retired 21 years after your college period, even if you were already working; good for you!
@@quentin2578 I was 40 years old when I took the course. I was working at an MIT laboratory and the course was free for me. I heard it was a good course and the timing was convenient. Honestly, I didn't need any of it and it didn't change anything about how I used linear algebra but it was still cool to hear Strang's presentation. So I sat through the whole semester.
@@sgravina Thanks for your genuine reply. Even though you were acquainted with the theory, it must have been a great and/or memorable experience to be in that environment during the personal computer/e-mail/internet technology revolution, right? Especially when surrounded with lecturers that have great analogies to better teach one math and physics. I may have a distorted view.
I am an eighteen-year-old student from the Netherlands and could not dream of a better time to be in college then during those days. No social media, a lot of face-to-face communication or simply telephone calls, studying entirely via books and libraries; man, I wish I was there.
Dear Prof. Gil,
I wanted to express my sincere appreciation for the last lecture of your online class on linear algebra at MIT. Your expertise and passion for the subject truly shine through in your teaching. The clarity and depth of your explanations made the complex concepts accessible and engaging. Your dedication to your students' understanding is truly commendable.
Thank you for inspiring me and igniting a curiosity for further exploration of linear algebra. Your genuine care for your students and willingness to address questions have left a lasting impression on me. I am grateful for the opportunity to be a part of your class and will carry the knowledge and insights gained from your lecture throughout my academic and professional journey.
With gratitude,
Fariba
♥♥♥♥♥♥♥♥
He wont read this. He doesnt upload the videos. Try send as an email
Edit: i am glad i am wrong
@@sonnyobrien The MIT OCW team has been collecting and sending the comments to him.
@@sonnyobrien get rekt
@@mitocw that is an achievement, thank you
@@sarithasaritha.t.r147 jokes on you- I made this comment without the confidence yet hoped that it would garner a response directly from MIT allowing the commenter the assurance their message will be received.
What I'm doing here? I don't even understand mathematics, I'm a history teacher
I had to pay for college out of my own pocket, without any financial aid, I had three part time jobs and little room to sleep. I used to watch videos to go to sleep (math and Physics primarily). I remember watching the Strang's linear algebra series before I took the class myself. I went on to get a perfect in the class and I cannot help but feel so grateful to all his work and dedication. Thank you!!!
@@b0benis linear algebra is a common class all math majors have to take at all schools...
No financial aid? I think most unis will give need-based aid regardless, no?
@@mysteriousshadow395 Not if your parents make $$$ and don't share. Can't qualify for low interest loans then either. And loans aren't truly financial aid- they are a noose. Perhaps they were trying to keep the debt down? I've had more than one friend who was utterly screwed from '18 and you're out' parents.
@@b0benis i think maybe he means he went to an other unviersity with lower fees and just watched strang's videos before attending the linear algebra class at that other university
@@b0benis in the USA maybe
An entire generation of linear algebra learners will be indebted to you professor Strang. Heartfelt thanks for your passion towards the subject. Wishing you a great retirement life with your nearest and the dearest ones. Also, a big big thanks to MIT for being so generous in making these priceless video lectures available for the students worldwide!
What great he did so he will be remembered? Can y tell me
You’re praising him like he’s some kind of god 😂
@@JohnSmith-xx9th he is higher than god, his teachings are based on logic not fairytales
@@toseefkhan921difference bw a professor and an uneducated kid
I teared up watching him say thank you at the end. we all wish we could accomplish something in life that is appreciated for years, and gilbert strang did more than that, and inspired thousands of people to purse math, study the subject, and teach others.
millions
Well said 👏
Without Gilbert Strang’s lectures, I wouldn’t have been able to graduate. From the bottom of my heart, thank you.
DITTO likely hundreds like you ...
as an engineering student in 1960's I have 'blitzed' the Linear Algebra course ( many have not ... LOL! ) - but when I discoverd Gilbert Strang at MIT on line ( likely in the late 90's I think) - and I decided to 'amuse' myseslf, even though I have left engineering and math world in the mid-1970's, and to my great AMAZEMENT I found out that, as an undegrad, I actually I never fully undestood the Linear Algebra ! WHAT AN AMAZING LECTURER !
Sadly, the universities now focus on 'diversity', 'euality' and other dumb NON-SENSE, and the STEM America's much behind the world , by a light year !
@@TheVeritas2100 Your comment made me realize that Prof. Strang’s use of the internet as an archive of his teaching lasted decades. Truly a farsighted man, ahead of his time.
(As for your last paragraph, let’s try to keep things lighthearted and congratulatory, we’re here to celebrate Professor Strang, not to criticize other academics).
@@thispersonwriting1889 ****as for YOUR last paragraph**** -
IT IS VERY SAD THAT The Harvards, The Yales , etc. are now DESTROYING the great American Universities culture , with the LGBTQFU2plus and other WOKEness crap ... 😞
- when they are appointing the LGBTQU2plus Presidents who are are cheaters, not qualified, dumb, plagiarsers, and/or political hacks - INSTEAD OF THE REAL QUALITY PROFESSIONAL ACADEMICS !!!!
The best teacher I never had. But thanks to MIT for sharing his linear algebra lectures. He has been a blessing for thousands of his students.
Dear Prof. Stang, as a faculty member of AI in Sharif University of Technology (Iran) I wanted to express my deep admiration for your linear algebra course, which I thoroughly enjoyed and have enthusiastically recommended to my students. Teaching math in a way that instills a love for the subject is a challenging task, much harder than solving complex equations. But your teaching style effortlessly achieves this. I would also like to congratulate you on your lifelong contributions to science, which have had a profound impact on the advancement of knowledge. Thank you for your dedication and inspiration.
Accolades from a prestigious uni tech from the other side of the world - amazing reach.
That is great!
Science should make countries closer, I appreciate a lot this message, thank you from Italy
Oh ah , It means muslim baiya too can understand something 😮
@@Ishanka....haha apart from Kooran
87 years old man teaching with such clarity. Remarkable! Unbelievable! Madness!! Thank you, Mr Gilbert. You help me to transition from Biology undergrad to physics . I will forever be indebted to you. I rediscovered my love for mathematics from you. You sir, are a legend of a kind. I love my life now. Thank you so much.
He taught my friend, his daughter, and her son. Three generations had the pleasure of being taught by this brilliant man. ❤
61 freaking years?! Holy crap....he's been teaching longer than my own dad has been alive.
I had the pleasure of attending your seminar 2 years back, and had a very insightful discussion. Thank you for saving my introductory linear algebra course, which led me to pursue numerical linear algebra and AI research.
As an university lecturer, I just wanna thank you professor Strang for all the given knowledge.... you are an example of teaching vocation.
Thank you for everything you have done for students who love Mathematics, especially in Linear Algebra and Calculus, Professor Strang.
That is absolutely incredible to have such powers of faculty at age 89, let alone killing it as an all-star Professor. Congrats on a career at MIT spanning 6 decades.
I had Prof. Strang for 18.06 in '88 and it was one of my favorite classes at MIT, thanks to him!
Thank you very much, Prof Strang.
Back when I was a student at my uni, I was going through some tough financial times and couldn't make it to the campus for lectures. But guess what? You came to the rescue! Your amazing lectures on OCW helped me not only snag an A+ for linear algebra but also lend a hand to a bunch of other students who were struggling.
From the depths of my heart, I send you warm wishes and profound gratitude. Thank you for being such an incredible teacher, and role model. Your legacy will continue to inspire future generations of mathematicians around the world. Happy retirement sir. Lots of love from Sri Lanka.
In a few minutes, I was able to grasp concepts that I couldn’t some 40 years ago. This is a testament to how masterful a teacher Professor Strang is. Thank you for helping an older guy like me “see the beauty” of linear algebra. Best of luck and enjoy your well deserved retirement..
"If I have seen further than others, it is by standing upon the shoulders of giants."-Issac Newton.... Professor Gilbert Strang you are the giant that students across the world will always stand on. These videos will immortalize your immaculate lectures. Thank you sir for devoting your life to teaching and giving students hope amongst their struggles. The future will be a better place because of humans like you.
Without prof. Strang ‘s lectures I could’ve never passed my own linear algebra class ten year ago. A millions thanks❤ and wish you a peaceful and happy retired life!
⏱Timestamps for this video!
0:00 - Introduction to the class event
10:05 - Alan Edelman's speech about Gilbert Strang
12:57 - Gilbert Strang's introduction
15:42 - Solving linear equations
30:42 - Visualization of four-dimensional space
31:37 - Nonzero Solutions
32:16 - Finding Solutions
34:19 - Elimination Process
41:05 - Introduction to Equations
42:26 - Finding Solutions
44:29 - Solution 1
47:42 - Rank of the Matrix
51:39 - In appreciation of Gilbert Strang
52:08 - Congratulations on retirement
52:38 - Personal experiences with Strang
55:01 - Life lessons learned from Strang
1:01:08 - Gil Strang's impact on math education
1:01:44 - Gil Strang's teaching style
1:02:20 - Gil Strang's legacy
1:03:23 - Congratulations to Gil Strang
🧙♂✨ Generated with Houdini Chrome extension.
I think professor forgot that ZERO is invented by INDIA not china! 😅 indeed
This guy carried me through my class, and probably saved many others taking Linear Algebra too.
Highest respects to them, and may they enjoy their retirement!
I took Professor Strang’s course at MIT over 30 years ago. It was a very memorable experience as he spoke so straight forward but yet profound. I still have his text book. Congratulations to him for an amazing 61 years of teaching students.
I felt heartbroken and overwhelmed at the same time. What a legend and an unsung hero. Happy retirement Sir Gilbert Strang!
India❤❤
Although I am not a MIT student, I have been watching Mr.Strang’s lecture for several times on RUclips and I am thankful for all lectures provided by him. Was an honor to watch such enormous lectures. Respect Mr. Strang, from Korea.
Seeing this last lecture from Mr. Strang made me realise just how dedicated and caring the teachers at MIT are. I wish you a happy retirement post teaching life. Thank you sir. Love from India. ❤
In the realm of mathematics, a luminary shines,
Gilbert Strang, a soul of boundless lines.
With elegant grace, his words do flow,
Unraveling secrets that numbers bestow.
In lecture halls, his voice resounds,
A symphony of wisdom that astounds.
He weaves matrices and vectors, so profound,
Creating symmetries where solutions are found.
Through Linear Algebra's intricate dance,
He unveils the beauty of matrices' expanse.
Transformations and spaces, he unveils their might,
Guiding seekers toward mathematical light.
A teacher, mentor, with compassion so true,
Gilbert Strang, a guiding star, we pursue.
His passion for learning, forever ablaze,
Igniting minds, illuminating endless pathways.
His legacy inscribed in minds he's touched,
A catalyst for minds that were once clutched.
Gilbert Strang, your impact shall endure,
A maestro of numbers, forever pure!
Thanks, ChatGPT!
@@IQ-303 You're welcome, Bard!
Wow he retired? I passes my linear algebra course 15 years ago, thanks to this guy.
Thank you Prof Gilbert Strang for the lectures and textbook on linear algebra. 13 years ago after graduating from high school, Prof Strang's 18.06 MIT OCW series was the first lecture series I watched while waiting to study university math. His lectures emphasised the different ways to think about linear algebra instead of just dry formulas. To this day, I still remember and use his column picture and row picture of matrix multiplication (each column of AB is a linear combination of columns of A) - this is seldom taught elsewhere but it really helped made a lot of reasoning with matrices and linear algebra a lot more intuitive. Used these pictures many times even when learning more advance math and my classmates seldom know about it.
Any link to any of his books?
@@JONASACHUOBIMaths I bought his Introduction to Linear Algebra book
No word can express my respect to Gil. From his lecture, I no longer fear of maths.
I remember taking this course midway through my undergraduate career (after the main maths sequences). Holy crap, this dude was such a beast and I loved his lectures. I can't pinpoint why his lectures resonated with me but they did and I am forever grateful.
uma despedida muito comovente. felicidades ao professor Gil Strang . Abraços daqui Brasil.
I took linear algebra at the University of Texas in 2008. My professor knew how awesome professor Strang’s lectures are and told us all to watch them in addition to attending the in class lectures. They were immensely helpful.
Sending love from a Chinese student! When I was a freshman in Australia, my English skills weren't great, and I had trouble understanding some of the content in my linear algebra course. Gil's book was the first book I read in English, and it made a huge difference. His course and book were super helpful, and I ended up acing linear algebra with a H1 (like an A+ in the US). And it's not just about the grade-I genuinely gained a deeper understanding of linear algebra thanks to his book.
Beautiful story🎆
Bro how did you manage to study in Australia? It's freakin' expensive there 😅
@@mkryszak scholership
I am grateful for being able to follow Professor Strang's excellent lectures. A great lecturer and a great man. Congratulations, Professor.
Mathematics probably saved my life. Still do, everyday.
Here's my drop in the ocean of the internet.
I had a near-deadly accident 4 years ago, drowned, and I'm now quadruplegic - not self-sufficient by any stretch of the meaning.
Shortly after ICU I started dulling my mind with endless youtube binging. I went from being a pianist, a swimmer, a dancer, a passionate and physical person... to being none of these things. A bag of meat without purpose.
However, the algorithm pushed mathematical content. Even though it was all monadic pieces of content, at some point the algorithm suggested a video of professor Strang. Shaky, dusty old man who radiated somehow both the vibes of a grandpa and of a delighted child - and suddenly my aimless wandering had run into structure. It was an actual class, with subsequent classes, it required me to understand before I could move forward. I had found something I could actually learn. I sank my teeth into the subject, felt purpose again.
No, the story does not end with me becoming a succesful mathematician, I just took 2 exams and moved to statistics because it resonated more strongly with me, my real-life gratitude to this man is simply due to his attitude of welcoming ignorance, in a non-derogatory meaning. Of welcoming inferiority and allowing me to undeerstanding that all inferiority is sectorial. Maths made me no longer feel entirely inferior due to my disability, just sectorially inferior. That's all I needed to feel like I could carry on.
Thank you, and sorry for the weird stream of consciousness.
Thank you and thank math
Have to say that there’re innumerable Chinese students really learnt linear algebra form you. Thank you Professor
For me, the teacher is most noble profession that exists. All teachers have my utmost respect. And this legend, still doing what he loves at an age that most are already retired, deserves all the applause and a wonderfull retirement. May he live long and happily.
I was taught the matrix described as squired group of numbers organized within parenthesis, them we were made sustract, multiply, etc, until we get the result. But never explain the root , nor even understand why we use the matriix, I included my classmates learned the mechanical way to resolve a matrix, not in a logical, meaningful way. As students, i get used to memorize and do the matrix in a mechanical way, get a pass score, without really understand. THIS CLASS is completely different. THANK YOU PROFESSOR GILBERT STRANG, ALAN EDELMAN, GRINFELD, GOEMANS.
थैंक यू इस लेक्चर के लिए ,मेरे बहुत से दोस्त आपके लेक्चर्स की तारीफ करते है ,,, मुझे ये वाला पसंद आया , ध्यानवाद आपका ,❤
Thanks professor Gilbert for all you have done for the world of math.
I have been introduced by your lectures to linear algebra about 5 years ago. and since then my grasp and understanding not only of math but of everything, has all changed drastically.
You have changed my view and how I perceive the world.
Big thanks from Egypt and Congratulations on your retirement!
what r u doing now ?
@@theabuzerbharuchi I graduated as an engineer, but it's hard to work a job in math here in egypt.
@@mido3071 it's hard everywhere for math
Professor Strang’s Linear Algebra book was the single best text I used in my entire academic career. My friend was struggling through LA, which was a requirement for her CS degree. I lent her my copy of Strang’s book, and it got her through the class (and on into a successful career as an SDE.).
Thank you professor Strang.
I'm from India, and I had never heard of this gentleman until I stumbled upon this video. On learning this was the broadcast of the last lecture of a legendary teacher, I listened to the entirety of it with the utmost respect for him. Couldn't help but get emotional towards the end when everyone clapped for him. I wish him a happy and healthy retirement.
Teacher: "How do we find x, y and z"
Me: now hear me out *opens grade one schoolers alphabet book*
Words fail to express the overwhelming emotions that stir within me as I watch Gil Strang's final lecture. At the age of 88, after dedicating a lifetime to the pursuit of knowledge, his retirement brings tears of admiration and gratitude to my eyes. The depth of his wisdom and unwavering passion is a testament to the extraordinary impact he has had on countless lives. Sir, your dedication and love for the subject have touched my heart in ways I can't fully articulate. You have shown me the beauty of a lifelong journey of learning and the profound difference one person can make. As you gracefully step away from the lectern, please know that you have left an indelible mark on the world of mathematics and on the hearts of aspiring learners like myself. Thank you for sharing your remarkable journey with us and inspiring generations to come.
Bhai mar var to nahi gya na😂
Well said! One can hope to live as humbly, and work as diligently for a lifetime on a subject as Prof. Strang has.
@@mathematicia sorry bro, I thought you ll take it as a joke
I don't even know calculus but still watched the full video (15 years old rn)
I have completed linear algebra long time ago, I am here just to show him respect and give my tribute. Stay well sir 🙏
Folks we get access to MIT for free. The world is messed up but what a time to be alive!
I love this man. He gave me the confidence to do mathematics again after I dropped out of college. He deserves all the amazing energy he's received now and throughout the years. Stay blessed, Professor Strang!
In india we learn matrix in schools only , with more complexity during mains and adv prep
His lectures motivated me to learn linear algebra when I was 73years.I then used it to teach my grand daughter at a UC....it was absorbing interesting and motivating....every lecture session.Thanks Prof and my virtual Guru in Lin Algebra.
Fesser- congrats on teaching a complex subject at such a high level over so many years. Thx to MIT for allowing this open course to be broadcast to the public. NOW that I'm retired I enjoy learning from videos like this. Would be GREAT if you could do RUclips videos for public consumption, it would be a contribution to humanity! Good luck & continued success!
Thank you Prof. Strang!
End of an era! An amazing teacher, a wonderfully helpful person and a legend! Thank you professor Strang! Best wishes to you!!
I have benefited from his linear algebra classes a lot . Thank you Gil for your dedication. You are good example to the new generations .
Good asmr 😴
It was only because of Professor Strang's text and my professor's wisdom in selecting that text that I aced Linear Algebra. Kudos to MIT to ensuring that his wisdom and pedagogical skill remain with us long after his retirement.
Many love from Mongolia. Wish long live Mr. Gil Strang.
Total respect. Thank you Proff.Gil Strang🙏
This Linear Álgebra is so simple for me, I believe I could be a good student at MIT
Thank you Prof Gil Strang for all I have learned and keep learning from your lectures and for making your contents the first on OCW freely!!! All I have for you is love, great admiration and debt of gratitude Sir.
Dear Professor Strang,
I wanted to take a moment to express my profound gratitude for the exceptional journey through 18.06 course. Your lectures have been nothing short of transformative, rekindling my love for mathematics in a way I never thought possible.
Your unique approach to teaching, blending clarity with enthusiasm, has made complex concepts accessible and engaging. The way you explain things, breaking down intricate ideas into digestible parts, is a testament to your deep understanding and passion for the subject. It's not just about solving equations; it's about seeing the beauty and logic behind them, which you've illuminated brilliantly.
Your dedication and effort in each lecture have inspired and motivated me. You've shown that mathematics is not just a tool but a language of the universe, full of wonder and discovery. I feel incredibly fortunate to have learned from someone who embodies the essence of a true educator.
Thank you for being the catalyst that reignited my passion for math. Your impact on my academic journey is immeasurable, and I will carry the lessons learned and the enthusiasm rekindled forward into my future endeavors.
With deepest gratitude,
Fahad
We need to discover the aging cure
Only after we discover how to live on other planets because if not the earth will blow up
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