SVD Visualized, Singular Value Decomposition explained | SEE Matrix , Chapter 3 #SoME2

Thank you sooo much for making these videos. They inspire me a lot!

still waiting for PCA and Fourier Transform videos

VERY NICE bro come back and upload new video!!!

PCA. Make a video.

This is an extraordinary video; however, i have two important questions.

Firstly,
In spectral decomposition, we know that Q's columns are matrix A's eigenvectors. Here, it is A'A and AA' 's eigenvectors. What's the intuition for such operation?

Secondly,
In spectral decomposition, it can only be done with symmetric matrices, so if it's not symmetric, should we just do SVD to the square matrices to get it's decomposition?
And is spectral decomposition a subset of SVD?

This is so good!

I need u to make hard topics easy for us.....pls make more videos😢❤

After 10 years of struggle I can finally understand SVD. Congratulations Sir!

Thank you for your effort, even I understood this now! 😆

No PCA video?.. Any other good source to recommend?

So good!!!

I am gonna remember these concepts for the rest of my life - all because your videos provided an intuitive insight which cannot be any simpler. Hats off! SVD always scared me, but far less now. :)

Amazing

For a student who studies more general objects then matrices, such as operators, this playlist is amazing. I come from reading 7 chapters from the book "Linear Algebra Done Right". And chapter 7 in itself is an ending of Linear Algebra, but never truly entails the intuition behind hermitian and normal operators. This playlist did the job for me. Great piece of art I'd say, and I'd love to put my hands on those animation apps that do the transformations, can't really find something good on the internet.

P.S: the Made in Abyss soundtrack really fit here, considering matrices are as misterious as an abyss itself. The more you delve into them, the more you're amazed by certain creatures and the levels of complexity to them. Just to see that only some are truly fundamental.

Waiting for PCA

Great analysis

Had SVD in controlsystems, and this video made me understand it so much deeper, thanks 👍

did not expect such an amazing explanation bro!!

Thank you!
Why rotate twice?

To me the jump from Spectral Decomposition to SVD needs some more insight. Why did we see SVD of a matrix A in terms of the spectral decomposition of the A(A^T) matrix? I think setting A to be equal to S_L, S_R and the dimension erases matrix is not properly explained. One should be able to start with a symetric matrix A(A^T) and them arrive at the SVD of A to show the equivalence. So, I think the video needs some more tinkering.

Man, this interpretation is divine level stuff. You are so good! Please make more such videos

Superb

Ur amazing, thank you

this is brilliant but got no time to watch them all ugh exam season

Thank you ! I dony know what else to say. Still waiting for that PCA chapter 🎉🎉

This is great. I wish I had videos like this in grad school. Did you ever make the principal component video?

This four part series should be part of every linear algebra curriculum!

Really amazing, take a bow

please also make a video on PCA

Wow. At loss of words.

These 4 vedios are the best at explaining the matrices and the SVD , thanks a lot for your great effort

❤❤

This video series was fantastic. It does a great job explaining everything that leads up to the SVD. I tremendously look forward to any more videos from you. :)

I know what it's going on, but dunno what it's going on also

What a masterpiece!

This video saved so much time, very well done! But i wasn´t expecting the crossover between Math and Aot.

the subtle anime music in the background though XD

These videos are excellent. Very rare to see an explanation that reveals the intuitive and REAL meaning of these processes and not just a bunch of equations. The most important thing is to understand what concept.

Thanks for another point of view in SVD my friend! I'm really appreciated.

this was amazing, great job!

This is by far the most brilliant and entertaining videos for understanding linear algebra. You've done a very great job man! Thank you so much.

I was listening to AOT ost a couple of days before I watched this. In the middle of the video I realized I am humming to AOT tunes which was unusual. It took me some time to realize that you had a background score and I was just humming to that.
Btw really liked the explanation.

Thank You so much for this video <3

top notch 💯

Come from another platform bilibili after watching a Chinese translated version. I have to say that this serie of video could be the best linear algebra visual interpretation. Thanks for delivering contents of such high quality.❤❤❤

You are an amazing teacher making everything so easy to understand.