SVD all the Matrices

Prof. Gil Strang's last lecture is ... Monday! Watch it via live stream: grinfeld.org/strang/

"The Extraordinary SVD" by Carla D. Martin & @masonporter Via @matrixologyvox pdodds.w3.uvm.edu/research/paper…

My matrix visualizations with MIT Gilbert Strang. I compiled the graphics in a short(14-page) PDF paper! github.com/kenjihiranabe/…

Everyday uses of discrete mathematics: mathily.org/dm-rw.html Maybe something to show your students. @stevenstrogatz @GizemKaraali_ @peterdodds @matloff @KevinZollman @lastpositivist @cailinmeister @HousingTheCity @red_abebe

This morning, as rotating curator of the @WomenInStat account, I'm letting it all hang out with my unbridled enthusiasm and unrelenting passion for the singular value decomposition. Learn more about why I'm #teamSVD: twitter.com/WomenInStat/st…

@MrHonner @daniela_witten 's thread on Singular Value Decomposition is the best math twitter thread of all time if you are looking for something fun and amazing to share with the students: twitter.com/daniela_witten…

So yesterday I asked you all what you wanted to hear about from me this week, and one answer stood out from all the others: the SINGULAR VALUE DECOMPOSITION (SVD). twitter.com/genomixgmailco… 1/

The Big Six Matrix Factorizations nhigham.com/2022/05/18/the…

Derivative of Determinant (for nxn Matrix) - by @maksym_zubkov, ht ⁦@RickWicklin⁩ m.youtube.com/watch?v=Ao6ncC…

Specifically, it was the singular value decomposition

the best matrix movie ever!

Graphic notes on Linear Algebra h/t @amccalljr ping @matrixologyvox github.com/kenjihiranabe/…

And UVM’s preferred linear algebra textbook doesn’t mention SVD. I developed and refined a Strang version at UVM starting in 2007, calling it Matrixology because Linear Algebra is terrible branding. The hero of the story is Ax=b and the hero’s journey ends with SVD.

Here's a fun fact that pops out of the idea of exponentiating matrices, which is not immediately obvious (to me at least). If you define a vector field using a linear operator, then flow along that field will also be linear.

New video! Raising e to a matrix, from the dynamics of love to Shrödinger's equation. youtu.be/O85OWBJ2ayo

Emergency SVD calculations. Some personal amusement delivered to @matrixologyvox, from the fall of 2016 involving @ChrisDanforth and @PratchettTheCat. Forgot all about it. youtube.com/watch?v=n6qdWL…

Did anyone write "linear algebra is going to be at heart of crucial social questions" more than 20 years ago? #fatml

Skew-symmetric, orthogonal polynomials, delay embeddings, dimensionality reduction? Seth Hirsh, Sara Ichinaga, @eigensteve, Nathan Kutz, @bingbrunton are wreaking sHAVOK! arxiv.org/abs/2101.08344