INTRODUCTION TO LINEAR ALGEBRA, 3RD EDITION

"I used the book for self-study in combination with Strang's freely
available video lectures. The book's emphasis is on understanding and
appreciating concepts, rather than on formal proofs. As I have
experienced him, Strang is very good at explaining things. He uses
lots of examples, and, the textbook as well as the video lectures are
very easy to comprehend. His informal writing helps to make the book
an interesting read."

---From a review on amazon.com, Roland Bauerschmidt