Matrix methods : an introduction

This new edition of **Matrix Methods** emphasizes applications to Jordan-canonical forms, differential equations, and least squares. The revision now includes an entire new chapter on inner products, additional material on elementary row applications, and hundreds of new exercises. \* Provides an introduction to the functional approach to programming\* Emphasizes the problem to be solved, not the programming language\* Takes the view that all computer programs are a definition of a function\* Includes exercises for each chapter\* Requires at least a high school algebra level of mathematical sophistication\* A self-contained work\* Can be used as a pre-programming language introduction to the mathematics of computing Content: Front Matter, Page iii Copyright, Page iv Dedication, Page v Preface, Pages xi-xii Acknowledgments, Page xiii Chapter 1 - Matrices, Pages 1-46 Chapter 2 - Simultaneous Linear Equations, Pages 47-100 Chapter 3 - The Inverse, Pages 101-136 Chapter 4 - Determinants, Pages 137-165 Chapter 5 - Eigenvalues and Eigenvectors, Pages 167-207 Chapter 6 - Real Inner Products, Pages 209-251 Chapter 7 - Matrix Calculus, Pages 253-297 Chapter 8 - Linear Differential Equations, Pages 299-340 Chapter 9 - Jordan Canonical Forms, Pages 341-394 Chapter 10 - Special Matrices, Pages 395-437 Answers and Hints to Selected Problems, Pages 439-497 Index, Pages 499-503