The Art of Linear Algebra [pdf]
raw.githubusercontent.com
The Art of Linear Algebra [pdf]
1–10 of 47 posts
Re: The Art of Linear Algebra [pdf]
#2It seems like the "github.com" link would be a better and more canonical url rather than link an opaque url to "githubusercontent.com"
Re: The Art of Linear Algebra [pdf]
#3Nice, I was just reviewing SVD and PCA, I grok them but then I forget, this material is useful for remembering the big picture.
Re: The Art of Linear Algebra [pdf]
#4It seems like the "github.com" link would be a better and more canonical url rather than link an opaque url to "githubusercontent.com" https://github.com/kenjihiranabe/The-Art-of-Linear-Algebra
And, "Graphic Notes on Gilbert Strang's Linear Algebra for Everyone" would be less ambiguous than "The Art of Linear Algebra."
Re: The Art of Linear Algebra [pdf]
#5Wow this is really well done. It's like a visual-algebraic approach... I've never seen this before.
I like how the author sets up a "grammar of matrix multiplications," and then reuses the same patterns in the rest of the document.
For people who might not be familiar, these visual notes are inspired by and complement Prof. Strang's new book https://math.mit.edu/~gs/everyone/ and course https://ocw.mit.edu/resources/res-18-010-a-2020-vision-of-li... https://www.youtube.com/playlist?list=PLUl4u3cNGP61iQEFiWLE2... see also https://news.ycombinator.com/item?id=23157827
Re: The Art of Linear Algebra [pdf]
#6Wow this is really well done. It's like a visual-algebraic approach... I've never seen this before. I like how the author sets up a "grammar of matrix multiplications," and then reuses the same patterns in the rest of the document. For people who might not be familiar, these visual notes are inspired by and complement Prof. Strang's new book https://math.mit.edu/~gs/everyone/ and course https://ocw.mit.edu/resources/…
Your books are pretty amazing too Ivan. Have em all.
Re: The Art of Linear Algebra [pdf]
#7Instantly fell in love with the presentation! Might give this a read-through just out of pure curiosity.
In undergrad, my mnemonic for these operations was visualizing the matrices animated in my head. The more complex ones, it was actually easier for me to remember Scheme functions that represent the algorithm (all expressed via higher-order functions so it was pretty concise); this was unique to my circumstances as an undergrad, not something I can pull off today without reviewing a lot of material.
Presenting the operations with color and blocks just gives a more natural "user interface" (lacking a better term) for remembering it!
Re: The Art of Linear Algebra [pdf]
#8On the first page they say "if neither a or b are 0", but they haven't defined what it means for a vector to be 0.
Also, they say "rank 1 matrix", but they haven't defined the concept of rank yet.
Some readers might find this kind of presentation acceptable, but personally I strongly dislike it when concepts are used before they are defined.
Re: The Art of Linear Algebra [pdf]
#9This is great for those studying algorithms (DP, DC, FFT, etc.). Very useful.
Re: The Art of Linear Algebra [pdf]
#10On the first page they say "if neither a or b are 0", but they haven't defined what it means for a vector to be 0. Also, they say "rank 1 matrix", but they haven't defined the concept of rank yet. Some readers might find this kind of presentation acceptable, but personally I strongly dislike it when concepts are used before they are defined.
To be fair, it does not look like this text is intended to be a self-contained introduction to linear algebra.