I ABSOLUTELY LOVE THE WORK YOU AND STEVEN BRUNTON HAVE DONE!!!! YOU ARE LEGENDS!!!! LOVE YOU!
@ad2181
3 жыл бұрын
He's setting a new standard for teaching Linear Algebra. He's GQ dress with the suite too. Enjoy the lectures they are Golden.
@gaelparfait4269
4 жыл бұрын
Great stuff thanks a million professor Kutz. It is precise and concise, I can't imagine the number of souls you guys are saving out there
@djtovys
4 жыл бұрын
First comment. I admired the Dr. Kutz. And this video is grateful. Thanks Dr. Kutz
@anilrao6
3 жыл бұрын
thank you Prof. Nathan Kutz
@tinkeringengr
3 жыл бұрын
This channel is great! keep up the great work, fundamentally changing civilization.
@dmitriiandreev8320
3 жыл бұрын
The best quality education
@ErnestoMendoza-oo1fq
Жыл бұрын
The MathLab and Python solutions for the undetermined case, panel (D) do not match.
@HD-qq3bn
3 жыл бұрын
Respect you
@CTSSHAH
Жыл бұрын
thank you for a wonderful book and video series
@anilcelik16
4 жыл бұрын
Thank you for the effort
@VIVEKPANDEYIITB
3 жыл бұрын
How does solver determine which variables are useful in case of l1 norm? Also, how do we prove theoretically that l1 promotes sparsity? Anyone?
@palzhanov
Жыл бұрын
👍
@user-um7wt2hx8j
2 жыл бұрын
how do you do that?
@anothermlstudent1458
3 жыл бұрын
Thank you very much Nathan for the great video! When in 3:37 you say "you cannot satisfy Ax = b, is overdetermined", if I imagine the case where some rows may be duplicated in my data or for some reason some rows happen to be a linear combination of the others I may get a "tall" matrix (or and overdetermined system) that may have a solution/s. In short, following the same definition of overdetermined as in en.wikipedia.org/wiki/Overdetermined_system, you can have an overdetermined system with a solution. Do you use a different definition of under- overdetermined? (for instance, only taking into consideration the number of equations after reduction?) or you are just focusing on what you assume to be the most common case in a data matrix (to not present duplicated or dependent rows? Thank you for the clarification =)
@azoj777
Жыл бұрын
no, you are correct - in an overdetermined system you'll only have a solution if b is in the span of A, and since the column vectors of A belong to R^n and n is significantly greater than m, the col vectors of A only span some subspace of R^n (a small subspace given that n is significantly greater than m). b is also a vector in R^n but it's likely that b is not in the subspace that A spans, so it's likely we don't have a solution.
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