I still want to learn Linear Algebra, myself, so if anyone has suggestions, please post them.
That allows you to study it more at your own pace. I'm taking the Visualizing Algebra course from Udacity, after working halfway through Coding the Matrix, because I found my algebra skills to be lacking.
Too bad its no longer possible to get a certificate on Coursera though, now I have to wait until the next iteration.
If you want to spend money, from my bookshelves:
Strang (the guy in the videos above) knows one or two things about Linear Algebra. His textbook is legendary. Bring lots of $$$, like three figures.
"The Manga guide to Linear Algebra" Yes, that is exactly what it sounds like. I think if you have to start somewhere, maybe this is it. Cheap. $
"Matrices for Engineers" by Kraus. There's about 50 textbooks along the lines of linear algebra matrices for engineers programmers using $math_application or $calculator or $chicken_entrails and similar title permutations. You'd think every engineering program in the nation is required to use a different text. This particular text was pretty good. If I recall correctly, reasonably priced $$.
I would suggest reading them in the order of the comic book, the engineer book (or any of the dozens of equivalent college texts), and Strang. Coincidentally thats also order of price.
At one time I understood everything in the comic book and the engineer book. That was a long time ago. Strang mystified me in parts. So I'm not going to pretend to have THE perfect answer. It is entirely likely in the last decade someone has written the Uber text to replace them all. Probably a new edition of Strang is out by now.
I would estimate the effort required to be about one programming language.
Best of luck to you.