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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105211 Views
Lecture 2: Elimination with Matrices
Feb 10, 2009
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41365 Views
Lecture 3: Multiplication and Inverse Matrices
Feb 10, 2009
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25306 Views
Lecture 4: Factorization into A = LU
Feb 10, 2009
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Lecture 5: Transposes, Permutations, Spaces R^n
Feb 10, 2009
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Lecture 6: Column Space and Nullspace
Feb 10, 2009
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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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16235 Views
Lecture 9: Independence, Basis, and Dimension
Feb 10, 2009
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17535 Views
Lecture 10: The Four Fundamental Subspaces
Feb 10, 2009
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16155 Views
Lecture 11: Matrix Spaces; Rank 1; Small World Graphs
Feb 10, 2009
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Lecture 12: Graphs, Networks, Incidence Matrices
Feb 10, 2009
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Lecture 13: Quiz 1 Review
Feb 10, 2009
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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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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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Lecture 24: Markov Matrices; Fourier Series
Feb 10, 2009
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Lecture 24b: Quiz 2 Review
Feb 10, 2009
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Lecture 25: Symmetric Matrices and Positive Definiteness
Feb 10, 2009
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Lecture 26: Complex Matrices; Fast Fourier Transform
Feb 10, 2009
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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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