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Linear Algebra with Online Video Lectures

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A Video Introduction to
Linear Algebra

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About This Course

These videos were recorded during  Professor Gilbert Strang's Class 18.06 at MIT in the Fall of 1999. They are all approximately 50 min. in length.

 

Video Lectures
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Lecture1 The Geometry of Linear Equations
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Lecture2 Elimination with Matrices
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Lecture3 Multiplication and Inverse Matrices
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Lecture4 Factorization into A = LU
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Lecture5 Transposes, Permutations, Spaces Rn
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Lecture6 Column Space and Nullspace
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Lecture7 Solving Ax = 0: Pivot Variables, Special Solutions
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Lecture8 Solving Ax = b : Row Reduced Form R
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Lecture9 Independence, Basis, and Dimension
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Lecture10 The Four Fundamental Subspaces
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Lecture11 Matrix Spaces; Rank 1; Small World Graphs
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Lecture12 Graphs, Networks, Incidence Matrices
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Lecture13 Quiz 1 Review
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Lecture14 Orthogonal Vectors and Subspaces
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Lecture15 Projections onto Subspaces
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Lecture16 Projection Matrices and Least Squares
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Lecture17 Orthogonal Matrices and Gram-Schmidt
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Lecture18 Properties of Determinants
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Lecture19 Determinant Formulas and Cofactors
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Lecture20 Cramer's Rule, Inverse Matrix, and Volume
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Lecture21 Eigenvalues and Eigenvectors
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Lecture22 Diagonalization and Powers of A
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Lecture23 Differential Equations and exp(At)
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Lecture24 Markov Matrices; Fourier Series
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Lecture24.5 Quiz 2 Review
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Lecture25 Symmetric Matrices and Positive Definiteness
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Lecture26 Complex Matrices; Fast Fourier Transform
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Lecture27 Positive Definite Matrices and Minima
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Lecture34 Final Course Review
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Primary content provider: Massachusetts Institute of Technology OCW
Free-Ed.Net Web design and pedagogy: David L.Heiserman
Publisher: SweetHaven Publishing Services

Copyright 2005, Free-Ed.Net
All Rights Reserved

Revised: April 28, 2005

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