❖ The Span of a Set of Vectors ❖

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  • Опубликовано: 19 янв 2025

Комментарии • 448

  • @patrickjmt
    @patrickjmt  4 месяца назад +11

    Hi all! Please post comments, questions and anything else on your mind in the comment section! Also, don’t forget to LIKE, THUMBS UP, and SUBSCRIBE! I’d appreciate it greatly as it helps me :)

  • @lisro21
    @lisro21 10 лет назад +524

    You don't know how many times you have saved my ass from going to McDonalds to apply for a job

  • @patrickjmt
    @patrickjmt  12 лет назад +117

    awesome, i am glad my boring videos could somehow help you want to pursue math! and my advice: pair up the math degree with something applied like CS, engineering, economics, etc.. unless you are wanting to be a math teacher or prof. i think jobs are hard to come by with only a pure math undergrad.

  • @CalmThrill
    @CalmThrill 7 лет назад +394

    Taught me more in the first 2 minutes than my Linear Algebra professor does in an hour.

  • @stiner2829
    @stiner2829 10 лет назад +205

    Ha well for four years now (since I started calc 1) I've been watching your vids. Now this is my last math class and I'm still here! Thanks for all the help man

    • @narutouchiha1946
      @narutouchiha1946 6 лет назад

      math major?

    • @jordanwinter3190
      @jordanwinter3190 5 лет назад +12

      This math is too easy for it to be last class of a math major.

    • @kucingyangbasah
      @kucingyangbasah 5 лет назад +2

      Stiner282 SAME!!!

    • @scottsliftedxj
      @scottsliftedxj 4 года назад

      @@jordanwinter3190 it's my last math class for a math minor. Calc 1-3 diff eq and linear

    • @scottsliftedxj
      @scottsliftedxj 4 года назад

      But I agree with you I'm not arguing your statement

  • @vielleichtspater5484
    @vielleichtspater5484 8 лет назад +67

    English is not even my first language but this guy just says 3 sentences and all my problems of the last 2 days are gone xD

  • @Sam-db8gv
    @Sam-db8gv 9 лет назад +45

    YOU JUST SAVED MY WHOLE SEMESTER AND GAVE ME HOPE AND LOVE FOR MATH. MANY THANKS!

  • @shyger778
    @shyger778 Год назад +20

    me doing my bachelor's in engineering in 2k23, watching this 11 y/o piece of masterpiece
    thanking you heartfully sir 🙂✌🏼

  • @stevenan93
    @stevenan93 10 лет назад +327

    PATRICK U DA REAL MVP

  • @delanimpofu7259
    @delanimpofu7259 6 лет назад +7

    i'm about to graduate and i'm considering doing my honours with a mathematics major. i cannot thank you enough for all the content you post and understanding you bring. my enjoyment of mathematics is largely because of you. you are special. sending love, light and success. from south africa.

  • @burlapse4113
    @burlapse4113 9 лет назад +20

    You explained this 100000000x better than my teacher, GOOD JOB!

  • @VerdictVerdictaon798
    @VerdictVerdictaon798 9 лет назад +295

    You are a good math tutor. God brought you on earth to save some of us from hard University and College Maths concepts and He is gladly proud of you

    • @patrickjmt
      @patrickjmt  9 лет назад +212

      God wants you to go to 'patreon' and help support my math video creations as well

    • @nvlfs1995
      @nvlfs1995 8 лет назад +16

      patrick sacrifices his time for us youtubers for our maths and you cannot sacrifice some little donation. you can donate what you can, and when you have job , you should donate more.

    • @KidCudi72
      @KidCudi72 7 лет назад +11

      How is he an asshole for saying he's going to donate when he has the means to? He's already putting money in Patrick's pocket by watching the video and commenting.

    • @pranjalbhatt8862
      @pranjalbhatt8862 7 лет назад

      Bash Barti bcoz he never monetizes his videos.

    • @EssentialYachting
      @EssentialYachting 5 лет назад

      CHRISTIAN ZIKPI lol im in 10th grade

  • @Thedude5007
    @Thedude5007 9 лет назад +13

    You Sir are a legend, I cannot begin to count the number of times you saved me, thank you very much. :)

  • @patrickjmt
    @patrickjmt  12 лет назад +23

    glad i could help you out :)

  • @AwookieGaming1
    @AwookieGaming1 8 лет назад +12

    This channel saved me from horrid professors at poorly run research universities where zero fudges are given about teaching.

  • @sonaligautam4081
    @sonaligautam4081 8 лет назад +2

    You are the BEST math teacher.
    You make it so easy to understand. Thank You.

  • @rickywiggins7861
    @rickywiggins7861 11 лет назад +66

    PatrickJMT may you live a long prosperous good sir because you have saved mine
    : )

  • @salmanmuhammad8159
    @salmanmuhammad8159 6 лет назад +1

    Dont ever stop making video . you got talent man.

  • @danooii
    @danooii 12 лет назад +1

    You've been my guide for the last 3 years, since the beginning of precalculus, through all of calculus, diff equations, and now linear algebra, the last math class I'll ever need in my major. Thank you!

  • @patrickjmt
    @patrickjmt  13 лет назад +2

    @billtruttschel thanks! i added an annotation about it; hopefully people will notice it.

  • @christinestraub7242
    @christinestraub7242 10 лет назад +14

    You are the best. I always brag about you to my classmates! I learned most of my calculus and other math with your tutorials. I hope you are doing physics too and life would be so much easier! :D

    • @kyrinky
      @kyrinky 10 лет назад +1

      If he does not do physics, check out AKlectures, amazing tutor.

  • @jjoben459
    @jjoben459 11 лет назад +1

    Thank you for actually writing out the problems. My professor tends to skip this over and focus more on proofs, and most of the kids in my class are math geniuses and whisper under their breath about me when I ask questions.

  • @samg
    @samg Год назад +1

    finished calc 2 and your videos were very helpful. Start searching for linear algebra study and you're here again. bless you

  • @garyfoo8821
    @garyfoo8821 8 лет назад +2

    Best teacher. Practical and simple to understand. Thank you.

  • @planetscizor
    @planetscizor 10 лет назад +49

    why bother going to class when Patrick teaches you so well. Teachers needs to go ask him on how to teach!

    • @flawns
      @flawns 10 лет назад +3

      Because he doesn't cover ALL the information in linear algebra...

    • @planetscizor
      @planetscizor 10 лет назад +2

      i passed my class following him, did not attend a single lecture after the first 2.

    • @flawns
      @flawns 10 лет назад +14

      You must have had a easy-to-fair professor. Our class has 0 calculations, only proofs :|

    • @planetscizor
      @planetscizor 10 лет назад +1

      I guess its a matter of understanding the material. Don't get me wrong, I just didn't watch his video and call it a day. I did almost all the problems in my book so grasp the materials. After all practice makes perfection.

    • @lordreyna6924
      @lordreyna6924 6 лет назад +2

      Planet Scizor this is why I take my math classes online it’s not like the teachers actually help. I swear robots would be more efficient and effective than what the education deems sufficient in producing over inflated egotistical professors that just follow a read and speak objective book all teachers get.

  • @Haidar-Salam-92
    @Haidar-Salam-92 2 года назад +1

    You're So Sweet Yar You Ta Taught Me Those Concept In Just Only 10 Minutes Which Concept We Doesn't Learn From A Professor In Six Months.

  • @andredagold5561
    @andredagold5561 5 лет назад +4

    You, patrickJMT, are the real MVP. (Mathematically Valued Person XD). Thank you for your videos!!

  • @Thejessica-silva
    @Thejessica-silva 10 лет назад +62

    Don't think I would have made it to linear alg/diff eq without your tutorials, haha. Awesome job!

  • @MrArekusa
    @MrArekusa 11 лет назад +1

    You, sir, are amazing. I don't know why all teachers don't teach like you do, the world would be just that bit more smart and probably so much more passionate about mathematics if they did.

  • @markmicronet
    @markmicronet 7 лет назад

    I got stuck learning the about span of a set of vectors. And this is the only video that I stumbled upon that explained the concept so EASILY....

  • @zachmichael3153
    @zachmichael3153 7 лет назад

    My teacher sucked at explaining this to us. He couldn't even answer basic questions but you made it so easy to understand. Thank you!!!

  • @JOHNKIMANIKym
    @JOHNKIMANIKym 9 лет назад

    My lecturer has a rather convoluted way of introducing very simple concepts. I have watched this video and comparing the approach with that of my prof., I think my prof needs some training on demystifying the learning of mathematics. Keep it up Patrick. I love the work you're doing. God bless you.

  • @higgsbp139
    @higgsbp139 11 лет назад

    Couldn't help but smile when I watched this video. This concept had me stymied for weeks and within 1 minute of your video it made perfect sense.

  • @iLoveTurtlesHaha
    @iLoveTurtlesHaha 7 лет назад

    YES!!! Thank patrick for having a linear algebra section. Last semester you helped with Calculus, this semester it's LA. You're da man. I love this guy. XD

  • @SN-dy2jr
    @SN-dy2jr 12 лет назад

    I have been watching your videos since high school, 4 yrs ago.. and they inspired me to study maths for my degree, and i am rocking with A-pluses, just because of your help.
    i guess it is the time to thank you more.. You are the best

  • @Benjofresh
    @Benjofresh 12 лет назад

    I cannot even describe how in debt I am to you, Patrick. You are the sole reason I have an A in Calculus II at Ga Tech. Thank you for filling the world with more awesome!

  • @rachelwiggy
    @rachelwiggy 11 лет назад

    Thank you SO much for taking the time to do this!! This topic makes so much more sense!

  • @GY9944
    @GY9944 11 лет назад

    I gotta say,I understood from your relatively shorter videos more than what I understood from longer boring MIT lectures.You're great,thanks.

  • @Acesif
    @Acesif 3 года назад

    Amazing video dude. Explained it better in 17 mins compared to an entire class by my university teacher

  • @devdayz101
    @devdayz101 6 лет назад

    I just wanted to come back here and thank you fam. Looked like I was going to fail linear algebra this year but then I found your videos before my final and ended up passing the course. All thanks to you!

  • @adrenalinerush369
    @adrenalinerush369 13 лет назад

    Hi Mr.Patrick! I would just like to thank you for taking the time to do these video tutorials. I lacked the confidence in doing math before but thanks to your easy to follow tutorials, I have been able to do well in my math-related classes. Thank you!

  • @vestabeats6007
    @vestabeats6007 4 года назад

    One that actually talks about the formula and gives examples. THANKS!

  • @andrewdeuriarte9147
    @andrewdeuriarte9147 7 лет назад +1

    Thank you so much, was very confused about this topic and now have a general understanding!!

  • @victorialewis6084
    @victorialewis6084 11 лет назад +5

    Your videos are fabulous. I tell all my students to look for your explanation online.
    Thanks for the valuable extra resource

  • @cho.gath789
    @cho.gath789 4 года назад

    I like your teaching style with covering different parts with the pieces of paper, and revealing it step by step.

  • @mightylimau
    @mightylimau 9 лет назад

    Hello Patrick,
    I'm currently studying A level Further Mathematics independently and your videos have helped me a lot in understanding the topics under the syllabus (especially on Linear Algebra!!). I like to thank you very much for sharing your videos. I really appreciate them. May God bless you.

  • @אוריפרץ-ח9ב
    @אוריפרץ-ח9ב 5 лет назад

    i just watch this all video without sound and still understood everything, you are amazing

  • @99ludester
    @99ludester 12 лет назад

    I swear, I only have to listen for about 3 minutes of your explanations and I can find most of my errors. You are awesome sir.

  • @patrickjmt
    @patrickjmt  13 лет назад +2

    @tutiha well, a few people told me i am a semester too late! : )

  • @patrickjmt
    @patrickjmt  13 лет назад

    @Zknowspairofdocks i have tons of row reduction videos, so just do a search! this one was a bit long, i will chop 'em up next time (like normal!)

  • @simmonstrumpet
    @simmonstrumpet 11 лет назад +1

    Loved the part where in his head he did -92*3, then stumbles on -276+280. Amazingly helpful video, just made me laugh. Just like on tests, I'll do an amazingly long problem, and miss an addition/subtraction.

  • @kyuss0x1
    @kyuss0x1 9 лет назад +1

    God bless you ! i was struggling with algebra until 1 min ago i watched this video :) you R-O-C-K !

  • @jacobfontaine216
    @jacobfontaine216 5 лет назад

    thank you man, i appriciate all the work you put in. Wouldn't were i am rn without it

  • @patrickjmt
    @patrickjmt  12 лет назад +3

    glad that you like them :)

  • @metal4bld
    @metal4bld 10 лет назад +187

    this stuff isnt that hard but my god is it a boring subject

    • @gingerbredm4n
      @gingerbredm4n 10 лет назад +74

      honestly when patrick or khan academy explains this stuff its very easy to me but my professor absolutely blows at explaining any of this

    • @RequiemForABuckeye
      @RequiemForABuckeye 7 лет назад +2

      Alex Gieleghem same

    • @Thadnill
      @Thadnill 6 лет назад +3

      I agree, it's not that complicated but it's so boring that it makes me want to puke... Which makes it hard because i can't stay focused haha, Luckily we at least have patrick...

    • @HK-sw3vi
      @HK-sw3vi 4 года назад +8

      have you taken probability and statistics?

    • @doubitn7969
      @doubitn7969 4 года назад +3

      Alex Gieleghem Same, all that I could hear from my professor was” Zhis, ando zhis. Yeah and Nowuu~ We move to zhe next.”

  • @scubadorge
    @scubadorge 4 года назад

    Thank you for showing very single step. Visual learners everywhere appreciate it. 👍🏼

  • @palvindarchhokar9821
    @palvindarchhokar9821 9 лет назад +2

    Dude! These videos are awesome, blew my mind! Thanks!

  • @jy9255
    @jy9255 Год назад

    Take my money man this is epic

  • @jatoday
    @jatoday 9 лет назад +1

    YOU ARE THE MATHS MESSIAH! Thanks. You're the best!

  • @tutiha
    @tutiha 13 лет назад

    I just love you! You make this video right before I need to revise linear algebra. How come you are just right on time :))))

  • @ariellalee4749
    @ariellalee4749 10 лет назад +2

    Great video, extremely helpful. Your tutorials are always so clear! Thank you so much.

  • @3zombie81
    @3zombie81 3 года назад

    yes you are my real prof, now i can focus on solving problems.

  • @daisyflat
    @daisyflat 11 лет назад +3

    Big mental hugs to you, good sir!

  • @yashwishah3408
    @yashwishah3408 11 месяцев назад

    wow never knew this was uploded 12 years back thank youu sirr!!!

  • @MRUZAINI
    @MRUZAINI 13 лет назад

    the way you solve the equations is brilliant!

  • @amandaniess7028
    @amandaniess7028 7 лет назад

    Great video, thanks! I study math, and the best way for me to learn is by watching videos. I am a slow reader and I find it very hard to understand stuff, when I read. My english is not that good either, and when u explain math verbally, the language is so much more simple than in the books. Thanks to people like u, I can get the tools that I need to keep up with my study group and hopefully graduate someday! :)

    • @patrickjmt
      @patrickjmt  7 лет назад

      good luck in your studies! you can do it!! :)

  • @fakecrime
    @fakecrime 12 лет назад

    Your videos always rekindle my love for Math. Thank you!

  • @idrisadesina4962
    @idrisadesina4962 11 лет назад +3

    Patrick, you are the realest nigguh out there

  • @stephenn5920
    @stephenn5920 11 лет назад

    You my friend are a genius, and a very helpful man. You just took me a step closer to be an engineer

  • @kinggiroud8233
    @kinggiroud8233 11 лет назад

    dude u explain this better than my textbooks and lecturer combined

  • @mgeyer3910
    @mgeyer3910 10 лет назад

    Fantastic! Had a pretty bad cold, so I missed a Linear Algebra lecture. I had some trouble trying to understand it from the textbook, but this cleared it all up. Thanks!

  • @DreamDaze777
    @DreamDaze777 Год назад +17

    Me preparing for exam watching this 11 year old vidoes😅😅

  • @davidontiveroz8295
    @davidontiveroz8295 9 лет назад +1

    You are doing the lord's work my sweet lovely patrickjmt

  • @erikrameaux1360
    @erikrameaux1360 3 года назад

    amazed with linear algebra by the way you explain and illustrate by example. thank you sir!

  • @cohi27
    @cohi27 12 лет назад

    All of your vids are great bro, thanks a million.

  • @qusaialmasri3349
    @qusaialmasri3349 4 года назад

    literally saved my life bro, you're amazing...

  • @ceeejh
    @ceeejh 7 лет назад

    The videos are not arranged properly. I want to know what video is before this one? Better yet, can you post a list of how I should watch this playlist. I love your videos though. They are to the point and simple. Thank you Patrick, you're the real deal!

  • @alienmoondudes8071
    @alienmoondudes8071 7 лет назад

    thank you for making this video!!! it. has TRUELY helped me understand the concept of spanning

  • @mcguire700
    @mcguire700 12 лет назад

    I've been using your videos to help me since calc I through diff e.q. and now linear algebra lol, they have been invaluable to me, thanks for the videos!

  • @footprints2006
    @footprints2006 11 лет назад

    You make my linear algebra textbook make so much more sense ty

  • @williamreyes3801
    @williamreyes3801 12 лет назад

    Better than my linear algebra teacher. Thank you Institution of Patrick JMT

  • @TheUnorganizedBaker
    @TheUnorganizedBaker 7 лет назад

    You sir, saved my life! I not only understood I actually learned! Thank you! :)

  • @mathyouforgot
    @mathyouforgot 4 года назад

    You have no idea how badly you just helped me.

  • @jonathanmukwaya6870
    @jonathanmukwaya6870 9 лет назад +1

    Thank You Patrick you will be blessed for this God willing.

  • @thatgenesis27
    @thatgenesis27 11 лет назад

    i am surviving math subjects because of you sir! you ! you rock!

  • @sreekeshv12
    @sreekeshv12 7 лет назад

    Thanks Patrick you saved me for tomorrow's exam

  • @patrickjmt
    @patrickjmt  13 лет назад

    @DonenDone10101 this is linear algebra

  • @cerenalir5032
    @cerenalir5032 8 лет назад

    you are my savior . Thank god ! Man you must be awarded ( please start lecturing in our university :D)

  • @Alphabunsquad
    @Alphabunsquad Год назад

    "Everything is perfect, I am just losing my mind" is what I think every 30 seconds doing linear algebra except for the "Everything is perfect" part

  • @LockmanCapulet
    @LockmanCapulet 11 лет назад

    Thank you SO MUCH for this video! I've been having a lot of trouble understanding this linear algebra stuff, and this video was so helpful!

  • @nickmuntzing5135
    @nickmuntzing5135 11 лет назад

    Dude... (exhales relief) Thank You

  • @galgalodida2783
    @galgalodida2783 4 года назад

    you really made linear algebra simple,thank alot for this great tutorial

  • @nabeelnaeem6323
    @nabeelnaeem6323 11 лет назад +2

    Thank you sir
    Such and easy method you are using and I am understanding it very well

  • @Hereson
    @Hereson 11 лет назад

    Thank you for these intuitive videos!

  • @cangurel7917
    @cangurel7917 9 лет назад +3

    this... this saved my ass big time, thanks man. awesome work

    • @patrickjmt
      @patrickjmt  9 лет назад +3

      +Can GÜREL happy i could help!

  • @dhimanroy1671
    @dhimanroy1671 8 лет назад

    You really help me to clear my concept.

  • @jordyb4862
    @jordyb4862 10 лет назад +2

    If you got together with Henry from MinutePhysics and did a MinuteMaths channel it would be amazing!
    Your videos are great but they are rather lengthy 10min+ which is good but having quick videos that convey the key content are brilliant because we can stop pause rewind and watch again.

  • @qulmon32414
    @qulmon32414 2 года назад +1

    U lost me 5:50, where did u get this equation ??

    • @paladin9876
      @paladin9876 2 года назад

      late - but its not an equation , hes using row reduction operations to make it a simplified matrix (RREF). This is one of the fundamentals and first thing you learn in linear algebra.

  • @zeeshan3dge
    @zeeshan3dge 13 лет назад

    I think Patrick knows which subject tutorials I need when I was studying Calculus I he made lots of tutorial of Calculus I now I need in Linear Algebra.:D
    Thanks a lot...

  • @kochomohamud4441
    @kochomohamud4441 3 года назад

    Always super amazing ..Thanks, dude you are doing a great job there..am so much grateful that you are there to help