Rigorous, self-contained introduction at undergraduate level covers vector spaces and linear transformations, linear equations and determinants, characteristic roots. Includes 16 sets of true-false... This description may be from another edition of this product.
It is a pleasure to read the book. There is a quiz and a set of exercises at the end of each section. Contains solutions to all quizzes and exercises; most suitable for self study. Table of contents: Preface Chapter 1: Vector Spaces and Linear Transformations 1. Vector Spaces 2. Linear transformations 3. Inner product 4. Matrix representations 5. Inverses Chapter 2: Linear Equations and Determinants 1. Rank of a matrix 2. Operations on matrices 3. Linear equations 4. Permutations 5. Introduction to determinants 6. Properties of determinants Chapter 3: Characteristic Roots 1. Characteristic roots and characteristic vectors 2. Schur's theorem 3. Normal matrices 4. Hermitian matrices 5. Matrix inequalities Answers and Solutions Index
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