This text covers the standard material for a US undergraduate first course: linear systems and Gauss's Method/ vector spaces/ linear maps and matrices/ determinants/ and eigenvectors and eigenvalues/ as well as additional topics such as introductions to various applications. It has extensive exercise sets with worked answers to all exercises/ including proofs/ beamer slides for classroom use/ and a lab manual for computer work. The approach is developmental. Although everything is proved/ it introduces the material with a great deal of motivation/ many computational examples/ and exercises that range from routine verifications to a few challenges. Ancillary materials are available at the publisher link.
