Elementary Linear Algebra

Presents the fundamentals of linear algebra in the clearest possible way, examining basic ideas by means of computational examples and geometrical interpretation. This substantial revision includes greater focus on relationships between concepts, smoother transition to abstraction, early exposure to linear transformations and eigenvalues, more emphasize on visualization, new material on least squares and QR-decomposition and a greater number of proofs. Exercise sets begin with routine drill problems, progress to problems with more substance and conclude with theoretical problems.