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The Essence of Linear Algebra [video]

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Re: The Essence of Linear Algebra [video]

#11
The introductory video is absolutely right. I studied linear algebra at university but it's been only recently when I decided to re-learn it that I have finally got it, and for that understanding the geometry behind linear algebra is crucial. Now I find myself thinking about problems in terms of matrices and vectors and making all sorts of deductions, even writing mathematical proofs, which I never thought I would.

Re: The Essence of Linear Algebra [video]

#12
post #3

Wow thanks for posting this link. I was wondering does anyone know more channels (or any other resource) just like this one, for Statistics and Calculus?

This is an amazing teacher, great channel for learning calculus: https://www.youtube.com/channel/UCoHhuummRZaIVX7bD4t2czg

Re: The Essence of Linear Algebra [video]

#13
post #9

These explainations are fantastic! Does anyone know of a literature class that examines different technical explainations and analyses why they are successful and where they fail?

So one thing I just noticed: in Video 4 (Matrix Multiplication) when he shifts from just showing geometry to a walkthrough of the numerical operations he begins tracing the paths of i-hat and j-hat. This continues to keep the explanation concrete. In fact, it is almost as if he is a programmer debugging a set of functions and walking the path of a piece of data from through one function call to another.

You can follow this along here: https://www.youtube.com/watch?v=XkY2DOUCWMU&list=PLZHQObOWTQ...

Re: The Essence of Linear Algebra [video]

#19
3Blue1Brown explanation of eigenvectors and eigenvalues is very insightful and intuitive [1]. One of my favorite videos from his channel is "Who cares about topology? (Inscribed rectangle problem)" [2]. They way a Torus and Möbius Strip come up as solution to the problem is so elegant.

[1]: https://www.youtube.com/watch?v=PFDu9oVAE-g&list=PLZHQObOWTQ...

[2]: https://www.youtube.com/watch?v=AmgkSdhK4K8

Re: The Essence of Linear Algebra [video]

#20

3Blue1Brown explanation of eigenvectors and eigenvalues is very insightful and intuitive [1]. One of my favorite videos from his channel is "Who cares about topology? (Inscribed rectangle problem)" [2]. They way a Torus and Möbius Strip come up as solution to the problem is so elegant. [1]: https://www.youtube.com/watch?v=PFDu9oVAE-g&list=PLZHQObOWTQ... [2]: https://www.youtube.com/watch?v=AmgkSdhK4K8

There's a new topology video out! As cool as the first one!
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