I wouldn't reccomend Strang's "Introduction to Linear Algebra" textbook to a beginner. Strang has a very odd, dense way of writing, often with references to material that has yet to be introduced. I think this is a consequence of it's intended use as an aid to his lectures, and can't really stand on its own. The goodreads reviews on the textbook seems to share my opinion: https://www.goodreads.com/book/show/179700.Introduction_to_L...
I think it's great for an intermediate student, or someone who's also watching Strang's lectures.