Intro: A New Way to Start Linear Algebra
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An Interview with Gilbert Strang on Teaching Linear Algebra
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1. The Geometry of Linear Equations
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2. Elimination with Matrices.
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4. Factorization into A = LU
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6. Column Space and Nullspace
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5. Transposes, Permutations, Spaces R^n
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Part 2: The Big Picture of Linear Algebra
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10. The Four Fundamental Subspaces
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12. Graphs, Networks, Incidence Matrices
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9. Independence, Basis, and Dimension
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3. Multiplication and Inverse Matrices
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7. Solving Ax = 0: Pivot Variables, Special Solutions
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30. Linear Transformations and Their Matrices
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21. Eigenvalues and Eigenvectors
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29. Singular Value Decomposition
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18. Properties of Determinants
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14. Orthogonal Vectors and Subspaces
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16. Projection Matrices and Least Squares
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