bit.ly/PavelPa... lem.ma/LA - Linear Algebra on Lemma bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook lem.ma/prep - Complete SAT Math Prep
Пікірлер: 57
@MathTheBeautiful3 жыл бұрын
Go to LEM.MA/LA for videos, exercises, and to ask us questions directly.
@denisebay17377 жыл бұрын
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
@Unidentifying9 жыл бұрын
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
@alimuqaibel76193 жыл бұрын
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.
@vicentefajardorosas35892 жыл бұрын
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!
@MathTheBeautiful2 жыл бұрын
Hi Vicente, thank you for letting me know - it's much appreciated. -Pavel
@slowcummer8 жыл бұрын
Great Lecture. His explanation is very straightforward.
@mastrammeena3283 жыл бұрын
That was beautiful Saved it in my playlist
@MathTheBeautiful3 жыл бұрын
Glad you liked it!
@maoyiluo86116 жыл бұрын
Thanks so much for these wonderful, clear video!
@Jeet_C4 ай бұрын
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.
@pagames3d3 жыл бұрын
Thank You !
@MathTheBeautiful6 ай бұрын
Glad it was helpful!
@diegowang95973 жыл бұрын
This is so beautiful. Thank you!
@souravdey12273 жыл бұрын
Simply beautiful.
@MathTheBeautiful6 ай бұрын
Thank you for the feedback!
@korvinking50276 жыл бұрын
Thanks ,it helps me understanding the deep learning by Goodfollow
@akhileshpandey84574 жыл бұрын
I think you refer to Ian Goodfellow
@yuqiwang78294 жыл бұрын
Hahaha I am reading that book as well
@sakshimahajan71238 жыл бұрын
Solution of the question is clear... Gr8 lect
@darklight10302 жыл бұрын
a similarity transformation, of the matrix LAMBDA.... haha, I enjoyed that edit. Thanks so much for this informative video!
@MathTheBeautiful6 ай бұрын
Thank you! Glad you enjoyed that!
@xinking26443 жыл бұрын
amazing , wonderful! thank u very much ,
@MathTheBeautiful3 жыл бұрын
Thanks, much appreciated.
@Mutageneofficial7 жыл бұрын
fantastic video, thank you very much!
@pedromoya91272 жыл бұрын
thank you professor
@MathTheBeautiful6 ай бұрын
Thank you - glad you enjoyed it!
@howardguo3985 жыл бұрын
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.
@TheGodSaw8 жыл бұрын
You do great videos keep it up!
@lalahaha36994 жыл бұрын
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?
@georgeobrien10114 жыл бұрын
The order of eigenvalues along the diagonal of its matrix must match the (column) order of eigenvectors in its matrix. You can reverse the order of the eigenvalues, but then you must reverse the order of the eigenvectors as well.
@faktamerapu77434 жыл бұрын
This is the 10x slow motion version of my prof lecture.
@cedrickiplimo29912 жыл бұрын
Well explained.
@MathTheBeautiful6 ай бұрын
Thank you - glad you found it helpful!
@littlerainyone8 жыл бұрын
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!!
@zeon1377 жыл бұрын
Maybe you won't need it after 2 months, but the sum of the values on the diagonal(that's the trace) must be equal to the sum of the eigenvalues.
@SAGARBODKHE7 жыл бұрын
Consider an orthonormal basis e1,e2,e3 (unit vectors). The last column contains the coefficients of the vector (say a1) obtained when the matrix A acts on the unit vector e3. so : a1 = Ae3 = A13 e1 + A23 e2 + A33 e3. Since A13 and A23 are zero, Ae3 = A33 e3, this implies A33 is one eigen value and e3 the corresponding eigen vector of matrix A.
@youmah259 жыл бұрын
thank you grazie merci شكرا gracias
@julianandressalazar5755 Жыл бұрын
2:20 I didnt understand how you got the third eigenvalue. I'm kind of new at this. Can somebody please explain?
@ParthSharma19968 жыл бұрын
Great video!
@severinmundl27107 жыл бұрын
great explanation! Thanks alot!
@tifanyburnett18048 ай бұрын
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?
@MathTheBeautiful6 ай бұрын
I think you made a tiny arithmetic mistake. -4-1+20 = 15. I think you just flipped the minus signs and got 4+1+20 = 25.
@conjetapierre87554 жыл бұрын
Where is the video which shows how you computed the eigenvalues and eigenvectors
@MathTheBeautiful4 жыл бұрын
kzbin.info/www/bejne/aJ6znWangLJ5gpY
@mateusmbr15 жыл бұрын
Very nice video, thanks teacher kane.
@ArturHolanda915 жыл бұрын
Bravo
@travisblack95197 жыл бұрын
fantastic
@tombouie5 жыл бұрын
Well Done
@roach5429 Жыл бұрын
how did you find the eigen values?im confused
@강동찬-h4s5 жыл бұрын
thanks good vid
@weigthcut8 жыл бұрын
Thank you! :) Suscribed!
@piyushmajgawali16114 жыл бұрын
Namaskaram Kane
@jatinkumar32468 ай бұрын
Not understand anything
@MathTheBeautiful6 ай бұрын
That's fair. This video is part of a series and might not make sense out of context. Here's Part 3 of the overall series which will put this video in context.