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MIT 18.06 Linear Algebra, Spring 2005

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1. The Geometry of Linear Equations

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An Interview with Gilbert Strang on Teaching Linear Algebra

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4. Factorization into A = LU

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6. Column Space and Nullspace

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13. Quiz 1 Review

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9. Independence, Basis, and Dimension

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3. Multiplication and Inverse Matrices

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8. Solving Ax = b: Row Reduced Form R

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2. Elimination with Matrices.

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7. Solving Ax = 0: Pivot Variables, Special Solutions

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14. Orthogonal Vectors and Subspaces

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10. The Four Fundamental Subspaces

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5. Transposes, Permutations, Spaces R^n

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12. Graphs, Networks, Incidence Matrices

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11. Matrix Spaces; Rank 1; Small World Graphs

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