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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.

iv CONTENTS 7.3. Problems 51 7.4. Answers to Odd-Numbered Exercises53 Chapter 8. BASIS FOR A VECTOR SPACE55 8.1. Background 55 8.2. Exercises 56 8.3. Problems 57 8.4. Answers to Odd-Numbered Exercises58 Part 3. LINEAR MAPS BETWEEN VECTOR SPACES 59 Chapter 9. LINEARITY61 9.1. Background 61 9.2. Exercises 63 9.3. Problems 67 9.4. Answers to Odd ...

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