Linear algebra is great. It wasn't required for my major, but it really should've been. Definitely check out Salman Khan's videos [0], I found the KhanAcademy selection for linear algebra to be especially helpful. I took a grad course titled "Axiomatic Linear Algebra" and even at that level, the videos were helpful.
If you really want to understand the theory behind Linear Algebra, "Linear Algebra Done Right" by Axler is a good choice of book, it's very approachable, but is completely axiomatic.
Duly noted! Accepting "doing this will result in this" often just doesn't cut it, and I've been in need of a good source of information. The lectures can be very overwhelming...
