Course Introduction | MIT 18.06SC Linear Algebra
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Course Introduction | MIT 18.06SC Linear Algebra
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Intro: A New Way to Start Linear Algebra
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Intro: A New Way to Start Linear Algebra
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Gil Strang's Final 18.06 Linear Algebra Lecture
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2. Elimination with Matrices.
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2. Elimination with Matrices.
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Part 2: The Big Picture of Linear Algebra
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4. Factorization into A = LU
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4. Factorization into A = LU
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7. Solving Ax = 0: Pivot Variables, Special Solutions
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7. Solving Ax = 0: Pivot Variables, Special Solutions
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3. Multiplication and Inverse Matrices
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1. The Geometry of Linear Equations
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8. Solving Ax = b: Row Reduced Form R
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6. Column Space and Nullspace
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30. Linear Transformations and Their Matrices
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21. Eigenvalues and Eigenvectors
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34. Final Course Review
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19. Determinant Formulas and Cofactors
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Lecture 2: Linear Algebra
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9. Independence, Basis, and Dimension
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15. Projections onto Subspaces
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An Interview with Gilbert Strang on Teaching Linear Algebra
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16. Projection Matrices and Least Squares
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5. Transposes, Permutations, Spaces R^n
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10. The Four Fundamental Subspaces
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14. Orthogonal Vectors and Subspaces
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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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25. Symmetric Matrices and Positive Definiteness
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18. Properties of Determinants
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27. Positive Definite Matrices and Minima
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13. Quiz 1 Review
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