Linear Algebra 7th Ed, Leon, Solutions Manual

SEVENTH EDITION

LINEAR ALGEBRA WITH APPLICATIONS

Instructor’s Solutions Manual

Steven J. Leon

PREFACE

This solutions manual is designed to accompany the seventh edition of Linear Algebra with Applications by Steven J. Leon. The answers in this manual supplement those given in the answer key of the textbook. In addition this manual contains the complete solutions to all of the nonroutine exercises in the book. At the end of each chapter of the textbook there are two chapter tests (A and B) and a section of computer exercises to be solved using MATLAB. The questions in each Chapter Test A are to be answered as either true or false. Although the truefalse answers are given in the Answer Section of the textbook, students are required to explain or prove their answers. This manual includes explanations, proofs, and counterexamples for all Chapter Test A questions. The chapter tests labelled B contain workout problems. The answers to these problems are not given in the Answers to Selected Exercises Section of the textbook, however, they are provided in this manual. Complete solutions are given for all of the nonroutine Chapter Test B exercises. In the MATLAB exercises most of the computations are straightforward. Consequently they have not been included in this solutions manual. On the other hand, the text also includes questions related to the computations. The purpose of the questions is to emphasize the significance of the computations. The solutions manual does provide the answers to most of these questions. There are some questions for which it is not possible to provide a single answer. For example, aome exercises involve randomly generated matrices. In these cases the answers may depend on the particular random matrices that were generated.

Steven J. Leon sleon@umassd.edu

TABLE OF CONTENTS

Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7

1 26 37 63 75 110 150

CHAPTER 1

SECTION 1

1 1 1 1 1 0 2 1 −2 1 0 0 4 1 −2...