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linearalgebra

# linearalgebra - DETERMINANTS 65 2.1 Definitions 65 2.2...

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CONTENTS CHAPTER 1 SYSTEMS OF LINEAR EQUATIONS AND MATRICES 1 1.1 Introduction to Systems of Linear Equations 1 1.2 Gauss-Jordan Elimination 10 1.3 Homogeneous Systems of Linear Equations 22 1.4 Matrices and Matrix Operations 27 1.5 Rules of Matric Arithmetic 38 1.6 A Method for Finding A -1 51 1.7 Further Results on Systems of Equations and Invertibility 56 CHAPTER 2

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Unformatted text preview: DETERMINANTS 65 2.1 Definitions 65 2.2 Properties of Determinants; Alternate Methods of Evaluation 74 2.3 Adjoint Formula for A-1 ; Cramer’s Rule 85 CHAPTER 3 APPLICATIONS TO CALCULUS 95 3.1 Euclidean N-Dimensional Space 95 3.2 Rotation of Axes 104 3.3 Transformations from R n to R m 109 ANSWERS TO EXERCISES 123...
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linearalgebra - DETERMINANTS 65 2.1 Definitions 65 2.2...

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