LADW saved me in undergrad, but I was pretty much exactly the target audience in an honors-level freshman math course:

"[per Treil, LADW is for] a student who, while not yet very familiar with abstract reasoning, is willing to study more rigorous mathematics than what is presented in a “cookbook style” calculus type course."

But yeah it's really attempting to introduce you to higher mathematics rather than get you comfortable doing linear algebra per se.