This book is intended to be a complement to a traditional linear algebra textbook. The entire book is devoted to the methods, procedures, algorithms and recipes for solving the computational/numerical exercises that are generally asked of students in an elementary linear algebra course. You will find within these pages over 100 such procedures and methods, each described in simple language and illustrated with multiple examples, over 200 in all. The procedures run the gamut from methods for solving systems of linear equations, inverting matrices, finding bases of subspaces in R^n to computing coordinate vectors in abstract vector spaces, determining the matrix of a linear transformation, and computing eigenvalues and eigenvectors of linear operators and much more. For ease of use and in the interest of making it self contained each section begins with a review of those definitions needed to understand the questions and the procedures that answer them.
Elementary Linear Algebra: Methods, Procedures and Algorithms