I can’t express how amazing this video is. I have taught from a number of textbooks in different undergrad linear algebra classes, and I’ve never in my life seen an explanation of SVD as good as this one.

@kiaraki7186

8 ай бұрын

its shit

With all due respect, on which basis people did thumbs down this outstanding piece of algebra. If I had Profs. like Sir Gibert Strang at my early university years, I would've reached far beyond my own expectations. Your teaching is outstandingly straightforward Sir.

@salrite

6 жыл бұрын

Agree... I can't imagine anyone can explain better

@Kneecap22

5 жыл бұрын

I think they haven't seen 18.06, the best course on linear algebra! They need to see lecture 25, 28 and 29. Before this one.

@gidi5779

4 жыл бұрын

I could imagine mathematics students to be dissatisfied by the lack of rigour. Are we talking about the standard inner product w.r.t. “orthogonal”? Over what field is the matrix? Is it even a field? How about existence and uniqueness of SVD? Etc. As a video explaining the procedure it’s very fine, but as opposed to engineers, that’s not necessarily what mathematicians are looking for in a video on SVD

@daniellavery6667

4 жыл бұрын

Perhaps because he buries the lede with the intention and applications towards the end, and the only "worked example" excludes all the procedure for actually computing the component matrices. Then the discussion of applications is, frankly, pretty disorganized. Gilbert Strang has written some good books in his day, and even has some good lecture videos on youtube, but this is not a great example of his teaching.

@christophostertag4669

4 жыл бұрын

Shows no proof unfortuantely

No any other guys can teach algebra better than this Professor. He is the teacher's teacher, the best of the best. Respect!

The best linear algebra by all standards. He makes it look so simple. This explanation of SVD and PCA blew my mind. I salute you prof.

I used to watch Prof. Strang's videos when I was a first year undergrad. Never thought I would revisit this during my master as I am learning about PCA... Time flies yet Prof. Strang is forever

@jironymojirolamus913

2 жыл бұрын

Came here while learning about PCA as well!

@alisadeghi7256

10 ай бұрын

PCA bross

I have been trying to understand PCA all semester. I didn't realise that I would finally 'get' it after watching this video on SVD. Thank you so much Dr Strang and MIT!

@marcnassif2822

4 ай бұрын

For everyone else reading this, having a good grasp of Linear Algebra is absolutely essential for understanding Machine Learning!

Each time, when I have the question about algebra, I always come to look for the answer in these lessons of Prof Gilbert. Thank you, Prof Gilbert.

I have watched this several time over the course of the last year, and each time I have gained a deeper understanding. Thank you!

Best ever explanation I found on this topic. Now its going to clear. Thank you Prof.

I learn really a lot from your open lecture, thank you very much!!! prof Strang.

Thank you so much Prof. Strang, and sincere gratitude towards MIT for an initiative like the OCW. Blessed are those who have the motivation to develop their skills in their younger years, and make it to an institution like MIT... but yeah, with uploads like this... even people like me can continue to develop our knowledge and understanding. I am so glad and grateful to have an opportunity like this!

great style of lecturing, always comes up discovering something. Thanks Prof. Gilbert Strang and MIT.

@zilezile4942

4 жыл бұрын

www.amazon.com/Data-Analysis-functional-principal-regression/dp/B088BM4FCB/ref=sr_1_5?dchild=1&keywords=NIZAR+Soilihi&qid=1589911627&sr=8-5

eigen people (or person) is the one of the greatest examples by Proff. Gilbert Strang. This one statement cleared many questions about PCA. Can't thank him enough, great professor. Thank you

My favorite professor! Can't thank him enough ! THANK YOU for your teaching :)

@zilezile4942

4 жыл бұрын

www.amazon.com/Data-Analysis-functional-principal-regression/dp/B088BM4FCB/ref=sr_1_5?dchild=1&keywords=NIZAR+Soilihi&qid=1589911627&sr=8-5

Gilbert is the best, I love him, wish I had a teacher like that

Very very clear explanation. Thank you very much Professor Strang.

3:35 "And what do I have? Well, I've got six matrices..." LOL

This is so elaborately explained, yet so easy to understand This is what teaching should look like!

Thank u for explaining us the application, It's a huge motivation for learning such stuff. I wish I had a teacher like you prof Strang :)

This lecture is an abosolute masterpiece. Thanks Prof. Strang.

I always enjoy watching Professor Strang’s lectures. I learnt a lot from them.

Gilbert Strang is a genius on making difficult linear algebra topics understandable. I really appreciate his great work on being a powerful teacher.

@howmathematicianscreatemat9226

Жыл бұрын

😊

"how to I get hold of U?"- Gilbert Strang

I could find art of teaching in this video... Thank you greatly....

Prof. Strang is absolutely the BEST!

I have great respect for this man, he's so devoted to his job.

Only 14 mins, solve all my problems!!! Thanks!

Finally some good content, I hate when a video is more than 30 minutes and full of garbage . But this video is gold

"eigenpeople...no, no, that's terrible"....lmaooo, too funny

@leetcoding1

5 жыл бұрын

"eigenperson would be better"

@ayushgoel8277

5 жыл бұрын

nice 1

@glarange72

5 жыл бұрын

unique people, makes sense!

@8eodorosk

5 жыл бұрын

there are the "eigenfaces" as well...

@juliocardenas4485

3 жыл бұрын

I’m with you

I enjoy your lectures. Thanks respected Professor Dr. Gilbert Strang.

This is the best SVD video on youtube

When I learnt linear algebra in college, I couldn't understand why I need to learn it besides it was required. Profs Gibert Strange made it more meaningful and helped me understand its application in practice. All the pieces I learnt are now connected.

@zilezile4942

4 жыл бұрын

www.amazon.com/Data-Analysis-functional-principal-regression/dp/B088BM4FCB/ref=sr_1_5?dchild=1&keywords=NIZAR+Soilihi&qid=1589911627&sr=8-5

Thanks to Dr. Gilbert Strang!

When I was in Scandinavia, studying computer science, our textbook was by this same guru, Gilbert Strang. That book was pretty compact and perfect.

めちゃくちゃ分かりやすかった！！

Hats off to you Sir. We are blessed to have people like you

Best ever.. Superb Sir.. Thank you so much

In such a short video, finally know the relation between PCA and SVD.

I really like his algebra book!

@vctropdiamond

5 жыл бұрын

One of the best introductory books on linear algebra, for sure

Thank you for teaching me the Linear Algebra I had to drop when I got mononucleosis. Now to pick up the Second Semester ....

Gilbert Strang has aged like fine wine! We will have lost a real gem when he is gone. His teaching is amazing.

@ihbarddx

6 жыл бұрын

Hey! Don't kill him off yet! I need him!

@diesel7777777

5 жыл бұрын

I just can't wait to get to the age where people talking about say, "man, it's gonna suck when he dies."

@harineemosur6530

4 жыл бұрын

I don't want him to die. The passion he has for teaching at that age is amazing.I have had profs in college who hated teaching basics and then I see this gentleman put so much effort in teaching same.Great man!

@freeeagle6074

2 жыл бұрын

Professor Arthur Mattuck, one of early pop stars of DE, passed away last year at age 91. Professor Herbert Gross, kindof the earliest calculus star, also passed away a few years ago. Pray that Professor Strang will live a long long long life.

Awesome Lecture, the way he makes it so easy to digest, well detailed, thanks :)

you are loved

I studied all this in small pieces, matrix in class 9th, Singular Matrix Decomposition in M.Tech. and Principle Component Analysis during my research in Speech Recognition using ANN. This video shows correlation in an exemplary manner. Best part is ...it sounds so simple and obvious. That's the trait of a teacher par excellence.

@anonymous-hl7ez

10 ай бұрын

Is research in AI ML valued in industry in India? I'm a final year engineering student wondering whether to focus a lot on research.

Thanks Professor Gilbert and also Internet.

Great lecture, Thank you, professor Strang.

great video, clear illustration and explanation

Great Great Master. Whenever I get stuck in math, I would come here, I would find him and That's fine!

Quality professor and lecture, this made SVD click for me

just amazing professor and method of teaching, thank you a lot!

super course. We have his books in our university. Clear and simple.

Thank you so much for this incredible explanation! It added so much value to my day :)

@howmathematicianscreatemat9226

Жыл бұрын

😊

All of my life I looked for the singular vector corresponding to the smallest singular value to solve linear systems. And now I learn that the biggest value is the most important one.

No words! just thank you prof.

prime teacher, share knowledge to the world

This prof is just amazing. In our college, only the formula and a large sequence of steps were mentioned to find SVD. I had a hard time comprehending it. This legend just mad eme understand SVD in just 2 equations with full concept. I wish I was born next to MIT. Thanku prof for enlightening me. And Thanku MIT OCW for making these vdos available

thank you for showing that SVD is actually getting the different layers of the matrix out .. from the most important to the least important..

I am really learning linear algebra from one of the finest professor on earth.

Sir Gilbert Strang has this ability to convert boring theorems into lectures which are as interesting as movies...

Sir I take a bow... Until now I didn't really understand SVD

Amazing! Thanks for such a nice explanation

Dude dropping some sick knowledge bombs, blowing my mind.

This is awesome! Thank you so much Professor

Mathematician is so cool.look at this guy, he almost know everything from finance to life science!

You are the best professor ever ..

best video by the man who invented linear algebra, very cool

You are a great professor. Thank you very much

Loved it. I doubt they lecture so simple and clear in real courses though. I doubt they add quite a bit more depth-and board space!

Great lecture! Thank you so much.

Thanks, Professor, this lecture is nice.

Thanks, Sir. God Bless You Sir. You are exceptionally amazing.

Thank God for Gilbert Strang

The number of time Prof. Strang saved me

Salute to Great Sir Gilbert Strang

I have always liked his explanations but I just learnt his name today from the comments. It was familiar name. And when I sat down with my Linear Algebra book I saw it. Wow... He is a legend huh...

Interesting examples with applied statistics.Thanks Sir.

You are the God of linear algebra

Wonderfully explained

Thanks a lot Prof Strang!

Thanks a ton, Professor. ❤️

Amazing, AGAIN!

Such a great man!

Beautiful again

Thanks Mr Gilbert, you Rock!,

The ultimate guru of Linear Algebra...

Great video!

the prof. is excellent

Great lesson!

I love this prof hahaha. Hilarious and amazing lecture

Good explanations

Great Lecture by Prof Strang ! Could anyone explain why he mentions that the matrix has rank one at 12:38 and how he concludes that the singular value sigma is what is selling us ? Thanking you in anticipation.

amazing ; thank you prof

Superb Sir .. Thank you so much ...

Love You Sir.

Simply Amazing !!

clear explanation!!

Thank you sooo much ,Sir.

The first in the world to actually explain very well wtf is this SVD

I first watched Mr Strang lesson in 2003. Which helped me found a good job in Special effects industry. Used a lot of matrix transform and FEM physical simulation. Can not thank him enough.

Thank you for this video !