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| Introduction | |
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| Reduced Row Echelon Form | |
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| Finding the RREF of a Matrix | |
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| Exercises | |
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| Matlab | |
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| Matlab Exercises | |
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| Optional Matlab: Diary, Save, and Load Commands | |
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| Solving Equations | |
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| Exercises | |
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| Matlab | |
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| Matlab Exercises | |
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| The Inverse of a Matrix | |
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| Exercises | |
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| Matlab | |
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| Matlab Problems | |
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| Determinants | |
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| Exercises | |
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| Matlab | |
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| Matlab Exercises | |
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| Subspaces and Basis | |
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| Dependence Relations and the Column Space | |
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| Matlab | |
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| Exercises | |
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| The Row Space | |
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| Matlab | |
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| Exercises | |
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| Null Space | |
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| Exercises | |
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| Matlab | |
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| Matlab Exercises | |
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| Solving Equations Revisited | |
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| Matlab | |
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| Exercises | |
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| Eigenvalues and Diagonalization | |
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| Eigenvalues and Eigenvectors | |
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| Exercises | |
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| Matlab | |
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| Matlab Exercises | |
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| Optional Matlab: Searching for Rational Roots with the Polyval Command | |
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| Optional Matlab Exercises | |
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| Diagonalization | |
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| Exercises | |
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| Matlab | |
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| Matlab Exercises | |
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| Orthonormal Basis | |
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| Exercises | |
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| Matlab | |
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| Matlab Exercises | |
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| Orthogonal Diagonalization | |
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| Exercises | |
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| Matlab | |
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| Matlab Exercises | |
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| Applications | |
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| Differential Equations | |
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| Matlab | |
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| Exercises | |
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| Least Squares Approximation | |
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| Exercises | |
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| Matlab | |
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| Matlab Exercises | |
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| Optional Matlab: Vandermonde Matrices and Curve Fitting | |
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| Optional Matlab Exercises | |
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| Markov Chains | |
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| Matlab | |
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| Exercises | |
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| Applications of the Null Space | |
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| Matlab | |
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| Exercises | |
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| Appendix | |
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| Answers to Exercises 1.1.1 | |
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| Answers to Matlab Exercises 1.1.3 | |
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| Answers to Exercises 1.2.1 | |
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| Answers to Exercises 1.3.1 | |
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| Answers to Matlab Exercises 1.3.3 | |
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| Answers to Exercises 1.4.1 | |
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| Answers to Matlab Exercises 1.4.3 | |
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| Answers to Exercises 2.1.2 | |
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| Answers to Exercises 2.2.2 | |
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| Answers to Exercises 2.3.1 | |
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| Answers to Matlab Exercises 2.3.3 | |
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| Answers to Exercises 2.4.2 | |
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| Answers to Exercises 3.1.1 | |
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| Answers to Matlab Exercises 3.1.3 | |
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| Answers to Optional Matlab Exercises 3.1.5 | |
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| Answers to Exercises 3.2.1 | |
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| Answers to Matlab Exercises 3.2.3 | |
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| Answers to Exercises 3.3.1 | |
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| Answers to Matlab Exercises 3.3.3 | |
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| Answers to Exercises 3.4.1 | |
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| Answers to Matlab Exercises 3.4.3 | |
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| Answers to Exercises 4.1.2 | |
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| Answers to Exercises Section 4.2.1 | |
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| Answers to Matlab Exercises 4.2.3 | |
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| Answers to Optional Matlab Exercises 4.2.5 | |
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| Answers to Exercises 4.3.2 | |
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| Answers to Exercises 4.4.2 | |