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Exercises and Problems in Linear Algebra

Exercises and Problems in Linear AlgebraJohn M. ErdmanPortland State UniversityVersion July 13, 2014c 2010 John M. ErdmanE-mail 1. MATRICES AND Linear EQUATIONS1 chapter 1. SYSTEMS OF Linear Answers to Odd-Numbered Exercises8 chapter 2. ARITHMETIC OF Answers to Odd-Numbered Exercises14 chapter 3. ELEMENTARY MATRICES; Answers to Odd-Numbered Exercises23 chapter 4. VECTOR GEOMETRY Answers to Odd-Numbered Exercises29 Part 2. VECTOR SPACES31 chapter 5. VECTOR Answers to Odd-Numbered Exercises38 chapter 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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