An accessible, applications-oriented presentation of the theory of linearalgebra. This is the top selling theorem-proof text in the market. *NEW - The text has been extensively rewritten with many additional examples and exercises and for increased clarity. *NEW - Additional material on the reduced echelon form of a matrix is included in Section 3.4. *A significant number of interesting and accessible exercises. *Real-world applications are provided throughout the book that reveal the power of the subject by demonstrating its practical uses.