I wasn't really aware that you needed formal education in linear algebra for quantum physics. I'm taking the introductory graduate level quantum physics class next semester without really that much linear algebra experience. That being said, we're using the book by Apostol (make sure you get volume II) in what is effectively honors 3rd semester calc. Evidently Caltech uses it for their math classes as well, so its pretty hardcore. As far as math books go, its pretty well done. The sheer volume of math is kind of discouraging, but after having to reread some stuff, I felt like I had a fairly good understanding of the material independent of lecture. (Again, you'll probably want to stay away if you want lighter reading--this is not a very happy book)