Horn and Johnson has written an excellent reference book on somewhat-advanced linear algebra (from the point of view of an engineer). There's a lot of treasures in this book, but this book is NOT for beginning linear algebra. Rather, it is written as a handy reference to review and learn certain topics in linear algebra.
Nonetheless, I really like their take on linear algebra. They motivate you in every subject and problem (for example, the relations between eigenvectors, eigenvalues, and optimization problems). These insights are invaluable and definitely worth the admission price.
Together with Golub and Van Loan's "Matrix Computations", this is THE linear algebra book to get, although only if you're sufficiently initiated.