Numerical Linear Algebra

I largely agree with your comments in this thread -- I'd been thinking about trying to express the same thing myself. I'd been guessing the motivation would be ML, where I feel that most people substantially overestimate how much they'd need. Signals processing, though, is one of the places where I actually think a decent understanding of some of the higher-level concepts in linear algebra is really helpful. Linearity itself comes to mind, and maybe it just reflects my physicist's education, but it's hard for me to imagine having a working understanding of Fourier transforms without getting the idea of changing bases. I feel like you're about halfway through a first linear algebra course before you'd get there.…

https://www.amazon.com/Numerical-Linear-Algebra-Lloyd-Trefet... (https://www.amazon.com/Numerical-Linear-Algebra-Lloyd-Trefethen/dp/0898713617) that book, i think, is fantastic. i was a TA for a graduate (and undergraduate) level course using it in Urbana-Champaign around 25 years ago. It's just a great book.

Numerical Linear Algebra by Trefethen and Bau.