MIT 18.06 Linear Algebra Spring 2005
35 Lectures ยท Aug 26, 1999
About
Course Highlights
This course features a complete set of video lectures by Professor Gilbert Strang. There are also Java applets with sound as well as interactive Java applets. The text for this class is Introduction to Linear Algebra by Gilbert Strang.
Course Description
This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices.
Course Homepage 18.06 Linear Algebra Spring 2005
Course features at MIT OpenCourseWare page: *Syllabus *Calendar *Readings *Assignment *Exams *Tools *Study Materials *Related Resources *Download Course Materials
Complete MIT OCW video collection at MIT OpenCourseWare - VideoLectures.NET
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Uploaded videos:
Lecture 1: The Geometry of Linear Equations
Feb 10, 2009
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105194 Views
Lecture 2: Elimination with Matrices
Feb 10, 2009
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41361 Views
Lecture 3: Multiplication and Inverse Matrices
Feb 10, 2009
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25302 Views
Lecture 4: Factorization into A = LU
Feb 10, 2009
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30242 Views
Lecture 5: Transposes, Permutations, Spaces R^n
Feb 10, 2009
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19147 Views
Lecture 6: Column Space and Nullspace
Feb 10, 2009
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22097 Views
Lecture 7: Solving Ax = 0: Pivot Variables, Special Solutions
Feb 10, 2009
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Lecture 8: Solving Ax = b: Row Reduced Form R
Feb 10, 2009
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Lecture 9: Independence, Basis, and Dimension
Feb 10, 2009
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17533 Views
Lecture 10: The Four Fundamental Subspaces
Feb 10, 2009
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16151 Views
Lecture 11: Matrix Spaces; Rank 1; Small World Graphs
Feb 10, 2009
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13799 Views
Lecture 12: Graphs, Networks, Incidence Matrices
Feb 10, 2009
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11920 Views
Lecture 13: Quiz 1 Review
Feb 10, 2009
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12232 Views
Lecture 14: Orthogonal Vectors and Subspaces
Feb 10, 2009
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Lecture 15: Projections onto Subspaces
Feb 10, 2009
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14170 Views
Lecture 16: Projection Matrices and Least Squares
Feb 10, 2009
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Lecture 17: Orthogonal Matrices and Gram-Schmidt
Feb 10, 2009
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Lecture 18: Properties of Determinants
Feb 10, 2009
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Lecture 19: Determinant Formulas and Cofactors
Feb 10, 2009
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Lecture 20: Cramer's Rule, Inverse Matrix, and Volume
Feb 10, 2009
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Lecture 21: Eigenvalues and Eigenvectors
Feb 10, 2009
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Lecture 22: Diagonalization and Powers of A
Feb 10, 2009
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Lecture 23: Differential Equations and exp(At)
Feb 10, 2009
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12151 Views
Lecture 24: Markov Matrices; Fourier Series
Feb 10, 2009
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10237 Views
Lecture 24b: Quiz 2 Review
Feb 10, 2009
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7485 Views
Lecture 25: Symmetric Matrices and Positive Definiteness
Feb 10, 2009
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10056 Views
Lecture 26: Complex Matrices; Fast Fourier Transform
Feb 10, 2009
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9650 Views
Lecture 27: Positive Definite Matrices and Minima
Feb 10, 2009
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Lecture 28: Similar Matrices and Jordan Form
Feb 10, 2009
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Lecture 29: Singular Value Decomposition
Feb 10, 2009
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Lecture 30: Linear Transformations and Their Matrices
Feb 10, 2009
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Lecture 31: Change of Basis; Image Compression
Feb 10, 2009
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Lecture 32: Quiz 3 Review
Feb 10, 2009
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Lecture 33: Left and Right Inverses; Pseudoinverse
Feb 10, 2009
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Lecture 34: Final Course Review
Feb 10, 2009
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7828 Views