Half Title -- Title -- Copyright -- Dedication -- Contents -- Preface -- Chapter 1 Linear Vector Spaces -- Chapter 2 Matrices -- Chapter 3 Determinants -- Chapter 4 Invertible Matrices -- Chapter 5 Linear Systems -- Chapter 6 Linear Systems (Cont'd -- Chapter 7 Factorization -- Chapter 8 Linear Dependence and Independence -- Chapter 9 Bases and Dimension -- Chapter 10 Coordinates and Isomorphisms -- Chapter 11 Rank of a Matrix -- Chapter 12 Linear Mappings -- Chapter 13 Matrix Representation -- Chapter 14 Inner Products and Orthogonality -- Chapter 15 Linear Functionals -- Chapter 16 Eigenvalues and Eigenvectors -- Chapter 17 Normed Linear Spaces -- Chapter 18 Diagonalization -- Chapter 19 Singular Value Decomposition -- Chapter 20 Differential and Difference Systems -- Chapter 21 Least Squares Approximation -- Chapter 22 Quadratic Forms -- Chapter 23 Positive Definite Matrices -- Chapter 24 Moore-Penrose Inverse -- Chapter 25 Special Matrices -- Bibliography -- Index