Linear Algebra with Gilbert Strang

Video Lectures

Displaying all 35 video lectures.
I. Solving Linear Equations
Lecture 1
The Geometry of Linear Equations
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The Geometry of Linear Equations
In this video lecture, Prof. Gilbert Strang lectures on the Geometry of Linear Equations.
Lecture 2
Elimination with Matrices
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Elimination with Matrices
In this video lecture, Prof. Gilbert Strang lectures on Elimination with Matrices.
Lecture 3
Multiplication and Inverse Matrices
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Multiplication and Inverse Matrices
In this video lecture, Prof. Gilbert Strang lectures on Multiplication and Inverse Matrices.
Lecture 4
Factorization into A = LU
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Factorization into A = LU
In this video lecture, Prof. Gilbert Strang lectures on Factorization into A = LU.
Lecture 5
Transposes, Permutations, Spaces Rn
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Transposes, Permutations, Spaces Rn

In this video lecture, Prof. Gilbert Strang lectures on Transposes, Permutations, Spaces Rn.
II. Vector Spaces and Subspaces
Lecture 6
Column Space and Nullspace
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Column Space and Nullspace
In this video lecture, Prof. Gilbert Strang lectures on Column Space and Nullspace.
Lecture 7
Solving Ax = 0: Pivot Variables, Special Solutions
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Solving Ax = 0: Pivot Variables, Special Solutions
In this video lecture, Prof. Gilbert Strang lectures on Solving Ax = 0: Pivot Variables and Special Solutions.
Lecture 8
Solving Ax = b: Row Reduced Form R
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Solving Ax = b: Row Reduced Form R
In this video lecture, Prof. Gilbert Strang lectures on Solving Ax = b: Row Reduced Form R.
Lecture 9
Independence, Basis, and Dimension
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Independence, Basis, and Dimension
In this video lecture, Prof. Gilbert Strang lectures on Independence, Basis and Dimension.
Lecture 10
The Four Fundamental Subspaces
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The Four Fundamental Subspaces
In this video lecture, Prof. Gilbert Strang lectures on The Four Fundamental Subspaces.
Lecture 11
Matrix Spaces; Rank 1; Small World Graphs
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Matrix Spaces; Rank 1; Small World Graphs
In this video lecture, Prof. Gilbert Strang lectures on Matrix Spaces, Rank 1 and Small World Graphs.
Lecture 12
Graphs, Networks, Incidence Matrices
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Graphs, Networks, Incidence Matrices
In this video lecture, Prof. Gilbert Strang lectures on Graphs, Networks and Incidence Matrices.
Lecture 13
Quiz 1 Review
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Quiz 1 Review
In this video lecture, Prof. Gilbert Strang gives a Quiz 1 Review.
III. Orthogonality
Lecture 14
Orthogonal Vectors and Subspaces
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Orthogonal Vectors and Subspaces
In this video lecture, Prof. Gilbert Strang lectures on Orthogonal Vectors and Subspaces.
Lecture 15
Projections onto Subspaces
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Projections onto Subspaces
In this video lecture, Prof. Gilbert Strang lectures on Projections onto Subspaces.
Lecture 16
Projection Matrices and Least Squares
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Projection Matrices and Least Squares
In this video lecture, Prof. Gilbert Strang lectures on Projection Matrices and Least Squares
Lecture 17
Orthogonal Matrices and Gram-Schmidt
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Orthogonal Matrices and Gram-Schmidt
In this video lecture, Prof. Gilbert Strang lectures on Orthogonal Matrices and Gram-Schmidt.
IV. Determinants
Lecture 18
Properties of Determinants
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Properties of Determinants
In this video lecture, Prof. Gilbert Strang lectures on Properties of Determinants
Lecture 19
Determinant Formulas and Cofactors
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Determinant Formulas and Cofactors
In this video lecture, Prof. Gilbert Strang lectures on Determinant Formulas and Cofactors.
Lecture 20
Cramer's Rule, Inverse Matrix, and Volume
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Cramer's Rule, Inverse Matrix, and Volume
In this video lecture, Prof. Gilbert Strang lectures on Cramer's Rule, Inverse Matrix, and Volume
V. Eigenvalues and Eigenvectors
Lecture 21
Eigenvalues and Eigenvectors
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Eigenvalues and Eigenvectors
In this video lecture, Prof. Gilbert Strang lectures on Eigenvalues and Eigenvectors.
Lecture 22
Diagonalization and Powers of A
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Diagonalization and Powers of A
In this video lecture, Prof. Gilbert Strang lectures on Diagonalization and Powers of A.
Lecture 23
Differential Equations and exp(At)
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Differential Equations and exp(At)
In this video lecture, Prof. Gilbert Strang lectures on Differential Equations and exp(At).
Lecture 24
Markov Matrices; Fourier Series
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Markov Matrices; Fourier Series
In this video lecture, Prof. Gilbert Strang lectures on Markov Matrices and Fourier Series.
Lecture 25
Quiz 2 Review
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Quiz 2 Review
In this video lecture, Prof. Gilbert Strang gives a Review for Quiz 2.
Lecture 26
Symmetric Matrices and Positive Definiteness
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Symmetric Matrices and Positive Definiteness
In this video lecture, Prof. Gilbert Strang lectures on Symmetric Matrices and Positive Definiteness.
Lecture 27
Complex Matrices; Fast Fourier Transform
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Complex Matrices; Fast Fourier Transform
In this video lecture, Prof. Gilbert Strang lectures on Complex Matrices and Fast Fourier Transform.
Lecture 28
Positive Definite Matrices and Minima
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Positive Definite Matrices and Minima
In this video lecture, Prof. Gilbert Strang lectures on Positive Definite Matrices and Minima
Lecture 29
Similar Matrices and Jordan Form
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Similar Matrices and Jordan Form
In this video lecture, Prof. Gilbert Strang lectures on Similar Matrices and Jordan Form.
Lecture 30
Singular Value Decomposition
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Singular Value Decomposition
In this video lecture, Prof. Gilbert Strang lectures on Singular Value Decomposition.
VI. Linear Transformations
Lecture 31
Linear Transformations and Their Matrices
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Linear Transformations and Their Matrices
In this video lecture, Prof. Gilbert Strang lectures on Linear Transformations and their Matrices.
Lecture 32
Change of Basis; Image Compression
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Change of Basis; Image Compression
In this video lecture, Prof. Gilbert Strang lectures on Change of Basis and Image Compression.
Lecture 33
Quiz 3 Review
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Quiz 3 Review
In this video lecture, Prof. Gilbert Strang gives a Quiz 3 Review.
Lecture 34
Left and Right Inverses; Pseudoinverse
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Left and Right Inverses; Pseudoinverse
In this video lecture, Prof. Gilbert Strang lectures on Left and Right Inverses and Pseudoinverse.
Lecture 35
Final Course Review
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Final Course Review
In this video lecture, Prof. Gilbert Strang gives a final course Review.