Transcription of 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 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. Answers to Odd-Numbered Exercises45 Chapter 7. Linear Answers to Odd-Numbered Exercises53 Chapter 8. BASIS FOR A VECTOR Answers to Odd-Numbered Exercises58 Part 3. Linear MAPS BETWEEN VECTOR SPACES59 Chapter 9.
Topics: systems of linear equations; Gaussian elimination (Gauss’ method), elementary row op- erations, leading variables, free variables, echelon form, matrix, augmented matrix, Gauss-Jordan reduction, reduced echelon form.
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Equations, Matrices Systems of Linear, Systems of Linear Equations, Matrices, Gauss, Jordan Elimination, Linear equations, Jordan, Linear Equations: Gauss-Jordan Elimination and Matrices, Inverse Matrices, Elimination, MIT OpenCourseWare, Linear algebra, Linear, Matrix Solutions to Linear Equations, Alamo Colleges, Methods for Sparse Linear Systems