Students of linear algebra learn by studying examples and solving problems - accordingly, the book contains a variety of exercises and solved examples which are used to motivate and illustrate concepts and theorems, carrying the student from concrete to abstract. Chapters 1-4 contain a one-semester course for beginners, and then chapters 5-9 contain a second semester course. Note that the preface contains an updated and helpful guide to assist instructors with different chapter orders depending on their approach to the course