Elementary Linear Algebra
Book information
Description
Title Preface Numbering System Contents 1. Introduction to Vector Spaces 1.1. Sets 1.2. Relations and functions 1.3. Linear functions 1.4. Vectors in a plane 1.5. Inner product of vectors in a plane 1.6. Vector spaces 2. Matrices 2.1. Matrix multiplication 2.2. Addition and scalar multiplication of matrices 2.3. Introduction to linear equations and rank 2.4. Rank and inverses 3. Determinants 3.1. The determinant function 3.2. Properties of determinants 4. Characteristic Roots 4.1. Vector spaces 4.2. Characteristic roots and characteristic vectors 4.3. Some special types of matrices 5. Quadratic Functions 5.1. Congruence 5.2. Abstract inner products Answers and Solutions to Quizzes and Selected Exercises Index of Symbols Index
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