I've decided it's time to just read straight through a linear algebra textbook. Is Strang still the standard?
@ZachWeinersmith If you want to read one cover to cover I can recommend https://linear.axler.net/
It also depends a bit on what you want to get out of it. Axler is good to get the more abstract perspective on linear algebra.
If you just want a concrete understanding of what an SVD does to a grid of numbers, it's probably not the best one.