I recommend getting the 1st edition. I read the 1st edition and loved it. Here is a relevant review of the 2nd edition https://janert.me/blog/2025/book-review-matrix-analysis-and-...
Looks like it may be a useful read after I've mastered the first edition more :)
The FFT and SVD chapters have actually ended up being the basis of a few research projects I've done. The writing really has a way of reframing concepts in very insightful ways.