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i have finally reached a more difficult to comprehend part in your great and greatfully appreciated lectures. will have a break and go back a few minutes of the lecture and re-start, mark

Good work

im a student at NEU and fell sick due to the flu, this saved me from falling further behind in class. Thank you!

Amazing explanation. Thank you so much.

This is fantastic, thank you so much. It is hard to find quality linear algebra sources online. I give this one an A+. I see you have a link to some blank practice sheets. Is there a way for us to verify our solutions?

Amazing lecture! Thanks! Do you have any resources on the applications on SVD?

i have just completed the third lecture in this series and i have to say your lectures have been so helpful. i have tried the oxford first lecture (only one i could find) and the mit series with prof strand and started on the princeton series. the oxford there were gaps where a lay person like myself needed a segway lecture to connect. prof strang must have been a great lecturer but i found his lectures disjointed as i also found with the princeton bloke where i loved his first lecture but the beginning of lecture 2 again i needed an interim lecture to fill the gap so thanks again. i hope you have downloaded other mathematics subjects, mark

Always efficient, thanks for sharing

Thanks it was very interesting ..

I have an arbitrary matrix A and an arbitrary column vector b. I am asked to determine whether the system [A|b] can be inconsistent, can have a unique solution, or can have infinitely many solutions. I’ve devised a method and wanted to confirm whether or not it works. We have our matrix A. We row reduce the matrix A to write it into Row Echelon Form: call this new matrix B. If there is a pivot in every row and a pivot in every column of B, then: [A|b] must not be inconsistent. [A|b] must have a unique solution by the Invertible Matrix Theorem. [A|b] must not have infinitely many solutions. If there is a pivot in every row of B but not a pivot in every column of B, then: [A|b] may or may not be inconsistent. [A|b] must not have a unique solution. [A|b] may or may not have infinitely many solutions. If there is not a pivot in every row of B but there is a pivot in every column of B, then: [A|b] may or may not be inconsistent. [A|b] may or may not have a unique solution. [A|b] must not have infinitely many solutions. If there is not a pivot in every row of B and there is not a pivot in every column of B, then: [A|b] may or may not be inconsistent. [A|b] must not have a unique solution. [A|b] may or may not have infinitely many solutions. Is this method okay or is it flawed in any way? Thank you so much!!

Good work

THANK YOU

i'm at 3'16' and am enjoying it immensely have watched prof strang from mit, and a prof from oxford (one lecture only) and a lecturer banning? from princeton and get confused watching prof strang, typical oxford as he leaves gaps that someone like myself needs a segway between the end of one sentence and the beginning of the next. thought the Princeton series of lectures on linear algebra have been the best so far. i will continue after i wash the dishes and thanks for posting dr hower

how do you know that reference angle is pi/4 when cos theta = sqrt(2)/2 in 20:33?

God bless you for providing this for free.

wow great teacher thanks...

Kimberly Brehms vs her. Who would win in a fishing contest

Prof, your first linear algebra course is excellent, looking forward to this one as well coz I am excited to see what refinements are you gonna be, and i had to fast pace through that playlist. So, definitely looking to study linear algebra in depth in the near future and will have fresh content! Don't know if you know this or not, is this much linear algebra enough for if you want to learn AI? Happy new year! :)

Thank you so much. Truly appreciate your video's.

appreciated very much and well presented with positive enegry of yours thank you

Thanks

Dr. Valerie, you have a done a great job in making these videos. I remember the time that we were just talking about you doing this on the drive to a run! Have a great year!

Thank you for making this public. I just finished my linear algebra final exam like 2 days ago, and I never even watched a single vid from your channel throughout the entire semester. But, I just wanna say that I really appreciate you for all of the work you done, and your generosity to not gatekeep education.

Yaaaaaay!

Thank u soo much Dr. Valerie, I'm from Pakistan and I want to learn maths as I was not really good in it from the start nor had a background from maths, this playlist is going to help me alot 😊😊

Thank you Dr. Hower! As a math hobbyist I appreciate all of your wonderful RUclips videos!

Thank you Dr. Valerie! My exam is in about 2 weeks, and I've gained a lot from your tutorials. Best regards from Alexandria Faculty of Engineering, Egypt!

You mention homework but I don't know what homework you talking about because I saw the last video to the end and I don't see the homework

there are many Linear algebra tutorial course i have checked many, but decided that is is the correct and here I am greeting and thank from el salvador

Is dx really an infinitesimal distance or can it be interpreted as for every x

36:12 I was very amused! 😊

great video ! Respect from Turkey

Taking calc 2 next semester after narrowly missing getting a B. I’m a little nervous because I’ve heard so many bad things about it. I’m gonna watch these to get familiar and hopefully make my anxiety a little less bad!

this whole playlist is as clear as it gets, thank you so much

wish me luck I got my finals in an hour

I am truly, truly grateful that you are willing to share these videos. It’s such a coincidence that we are using the same textbook, and the content is largely similar (also skipping the fourth chapter). Many times, I can’t fully understand what our professor is teaching (although he is a very kind person). After watching your videos and combining them with the readings, I’ve gained a whole new understanding of linear algebra. Thank you so much!

Dr. Valerie Hower, your dedication to making complex mathematical concepts accessible is truly inspiring! Your enthusiasm and engaging teaching style have not only demystified subjects like Discrete Mathematics and Mathematical Reasoning but have also ignited a passion for learning in so many students. From the energy in your lectures to the insightful and practical proof techniques, it's clear that you're making a significant impact on learners around the world. Your openness in sharing these lectures publicly is a gift, and it's remarkable how you've created such a welcoming and stimulating learning environment. Thank you for your commitment to education-please continue this incredible work, as countless students, both new and seasoned, benefit immensely from your expertise. Mohamed from Morocco Long-life Maths learner

is this for math majors?

can someone please answer my question i have final tomorrow's morning, so how can we know that this is a free variable?

The dimensions of Sigma is wrong

Love for mathematics ❤

It's awesome very simply explained every concept

do you have a book recommendation because i got lost at the last question asking about the derivative

thank you, very good video

I like the way you passionate about the lessons.. I like your energy and dedication.. Thank you for your existence

isnt -4/3?

It was a great besides could you solve more questions in your next videos. Thanks 😊

Very cool. Send me your Dm

Your enthusiasm, your clarity are absolutely inspiring!

i just want to say thank you!