Introduction to Linear Algebra, 5/e is a foundation book that bridges both practical computation and theoretical principles. Due to its flexible table of contents, the book is accessible for both students majoring in the scientific, engineering, and social sciences, as well as students that want an introduction to mathematical abstraction and logical reasoning. In order to achieve the text's flexibility, the book centers on 3 principal matrix theory and systems of linear equations, elementary vector space concepts, and the eigenvalue problem. This highly adaptable text can be used for a one-quarter or one-semester course at the sophomore/junior level, or for a more advanced class at the junior/senior level.
So, in my opinion, if you read a whole text book, it deserves to go on the list. As far as rating the textbook, its fine. Not the best one I've read, but not that bad either.
Blood, sweat, and tears went into this book. Mostly tears. It was unfortunately not written with poor sleep-deprived Rebecca in mind, but she persevered, and then cried some more. I think non sleep-deprived Rebecca would actually enjoy this book, but alas, she was on vacation, leaving sleep-deprived Rebecca to struggle alone.