For first courses in Linear Algebra or Matrix Theory. This introductory text offers a fine balance between abstraction/theory and computational skills. While vector spaces come early, this is not a heavy duty theory text. This edition is more applied than ever before. *New topics added - e.g., dynamical systems, spectral decomposition and singular value decomposition. *More careful, step-by-step treatment of eigenvalues and eigenvectors. *Greater use of linear combinations-of-columns approach. *More exercises, at all levels and more geometry added. *Provides an introduction to MATLAB and contains exercises that are specially designed to be solved using MATLAB. *Strong pedagogical framework. *Specially marked, software - neutral, computer exercises.