I first learned from Lax's book which I felt was a bit too difficult for an undergraduate course. But in a graduate level class I learned from the lecture notes of Professors Sophie Marques and Fred Greenleaf which I was a huge fan of that you can find on this website:

http://math_research.uct.ac.za/marques/LA.html

It's a much higher level of abstraction than an introductory Linear Algebra course but I found them amazing for developing intuition. I believe they have also released them in textbook form which is probably more polished.