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Exercises and Problems in Linear Algebra

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Exercises and Problems in Linear AlgebraJohn M. ErdmanPortland State UniversityVersion July 13, 2014c 2010 John M. ErdmanE-mail 1. MATRICES AND Linear EQUATIONS1Chapter 1. SYSTEMS OF Linear Answers to Odd-Numbered Exercises8Chapter 2. ARITHMETIC OF Answers to Odd-Numbered Exercises14Chapter 3. ELEMENTARY MATRICES; Answers to Odd-Numbered Exercises23Chapter 4. VECTOR GEOMETRY Answers to Odd-Numbered Exercises29Part 2. VECTOR SPACES31Chapter 5. VECTOR Answers to Odd-Numbered Exercises38Chapter 6. Answers to Odd-Numbered Exercises45Chapter 7. Linear Answers to Odd-Numbered Exercises53Chapter 8. BASIS FOR A VECTOR Answers to Odd-Numbered Exercises58Part 3.

Contents PREFACE vii Part 1. MATRICES AND LINEAR EQUATIONS 1 Chapter 1. SYSTEMS OF LINEAR EQUATIONS3 1.1. Background 3 1.2. Exercises 4 1.3. Problems 7

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