Linear Algebra 18a: Introduction to the Eigenvalue Decomposition

[denisebay]

Thank you so much i could do the exams well but never really fully understand why, simply memorised all the formula and cases, it was such a pain...until your lecture. it feels that I had been sick but finally got cured. Thanx

[Unidentifying]

you are awesome man, I havent had the time to check all your videos but I will soon, thank you very much for doing these

[alimuqaibel]

Thank you. The explanation is very clear. The sound and tone are very good. I like the fact that you started with numbers and specific example. Thank you.

[vicentefajardorosas]

I struggled to actually understand what decomposition was all about (let alone eigenvalue decomposition). Thanks so much for making it cristal clear! You sir are definitely the best!

[mastrammeena]

That was beautiful
Saved it in my playlist

[maoyiluo]

Thanks so much for these wonderful, clear video!

[slowcummer]

Great Lecture. His explanation is very straightforward.

[Jeet_C]

How did you get the eigen vectors if someone can explain, I got the first eigen vector by gaussian elimination, however struggling to get 2nd and 3rd eigen vector for 4 and 3.

[faktamerapu]

This is the 10x slow motion version of my prof lecture.

[darklight]

a similarity transformation, of the matrix LAMBDA.... haha, I enjoyed that edit. Thanks so much for this informative video!

[Mutageneofficial]

fantastic video, thank you very much!

[xinking]

amazing, wonderful! thank u very much,

[sakshimahajan]

Solution of the question is clear... Gr8 lect

[korvinking]

Thanks, it helps me understanding the deep learning by Goodfollow

[littlerainyone]

No doubt I would not have this question if I had followed your entire course, but can you tell me why it is immediately obvious to you that 4 must be an eigenvalue simply by virtue of the fact that (1) it is the only nonzero value in column 3 and (2) it is on the diagonal? What is the reasoning behind that? I wish I knew more shortcuts like that for finding eigenvalues!!

[julianandressalazar]

2:20 I didnt understand how you got the third eigenvalue. I'm kind of new at this. Can somebody please explain?

[lalahaha]

Starting at 4:53 when converting the 3 separate vector equations into a single matrix equation, how do you know in which order the eigenvalues (7, 4, 3) lie diagonally in Lambda matrix shown at 5:21? If you skipped some steps, could you please explain the work?

[tifanyburnett]

around the 5 min. mark:: this should get (v_3)(l_3) =[-3 3 15] but the last column for "A times 3rd eigenvector" should be (A)(v_3)=[-3 3 25] so they are not equivalent. Whats happening? did i mess up?

[howardguo]

it's better to explain why the eigen-vector matrix times the eigen-value matrix is equivalent to the eigen values on a right-matrix(eigen-value matrix) time the columns on a left-matrix(eigen-vectro matrix) because intuitively that's not how the matrix multiplication works. In fact, it looks that way because the right-matrix is a diagonal matrix.

[youmah]

thank you
grazie 
merci
شكرا
gracias