The matrix at 23:09 is a Vandermone matrix. en.wikipedia.org/wiki/Vandermonde_matrix
@hoseinzahedifar1562
2 жыл бұрын
Great and thanks... 👏👏 however, it is the transpose of a Vandermond matrix, not a Vandermond matrix itself...
@FadoodleX
2 жыл бұрын
@@hoseinzahedifar1562 Math pedantry FTW!
@superuser8636
2 жыл бұрын
I really appreciate your candor and humor when dealing with Wronskians 😂
@ayublakhani3913
2 жыл бұрын
Just got your 2nd edition and it is a goldmine of information. Thank you for the book and all these videos to reinforce the key concepts!
@ayoadeadeyemi01
Жыл бұрын
What's the name of the book?
@rudypieplenbosch6752
2 жыл бұрын
Amazing how straightforward solving a higher order DE actually is, when I see a higher order DE it used to be a scary thing, thanks.
@martinsanchez-hw4fi
Жыл бұрын
The characteristic polynomial is the actual hairy thing
@cziffras9114
Ай бұрын
Wonderful recap ! (it's a Vandermonde matrix and it's invertible ;) )
@Alan-zf2tt
9 ай бұрын
Well I'll be jiggered! @ 10:31 hmmm... eigenvectors and eigenvalues Interesting! Plus on Michael Penn's channel there was an observation along lines of: if something, say wlog X a poly'l eqn, has a solution in m-space for m
@hoseinzahedifar1562
2 жыл бұрын
Great Lecture, and thank you...😍😍.
@alial-ghanimi8357
Жыл бұрын
I really appreciate your effort. Thanks.
@SoloLifeJourneys
2 ай бұрын
Hmm, I thought characteristic polynomial only have roots in the algebraic closure of the original field. So, the solution might not necessarily lie in the original field. Is this correct?
@rushikeshjadhav4103
9 ай бұрын
Great Explanation....!!!
@juandiego33140
Жыл бұрын
What a great job! Thanks a lot for sharing
@lioneloddo
2 жыл бұрын
But what intellectual prowess! After a few minuts, I can't follow the demo anymore. An then I just see colors, shapes and patterns and a kind of a beautiful music for my frenchy ears ...
@lioneloddo
2 жыл бұрын
Gauss-Jordan method? The idea being, I guess, to transform first the dense matrix in an equivalent upper triangular matrix or something like this.
@ChristianRosenhagen
7 ай бұрын
Please consider using Σ
@curtpiazza1688
6 ай бұрын
Cool ! Thanx so much! 😊
@ST-te8sd
2 жыл бұрын
you are writing from left hand?
@carultch
Жыл бұрын
The video is mirrored, and he is left-handed. If you saw him doing this live, you'd see the text reversed.
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