Course Information

Course

Code:	MIT 18.06
Subject:	Mathematics
Topic:	Linear Algebra
Views:	220,881

Educator

Name:	Massachusetts Institute of Technology (MIT)
Type:	University

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Instructor

Name

Gilbert Strang

Linear Algebra with Gilbert Strang

Video Lectures

Displaying all 35 video lectures.

I. Solving Linear Equations
Lecture 1 Play Video	The Geometry of Linear Equations In this video lecture, Prof. Gilbert Strang lectures on the Geometry of Linear Equations.
Lecture 2 Play Video	Elimination with Matrices In this video lecture, Prof. Gilbert Strang lectures on Elimination with Matrices.
Lecture 3 Play Video	Multiplication and Inverse Matrices In this video lecture, Prof. Gilbert Strang lectures on Multiplication and Inverse Matrices.
Lecture 4 Play Video	Factorization into A = LU In this video lecture, Prof. Gilbert Strang lectures on Factorization into A = LU.
Lecture 5 Play Video	Transposes, Permutations, Spaces Rⁿ In this video lecture, Prof. Gilbert Strang lectures on Transposes, Permutations, Spaces Rⁿ.
II. Vector Spaces and Subspaces
Lecture 6 Play Video	Column Space and Nullspace In this video lecture, Prof. Gilbert Strang lectures on Column Space and Nullspace.
Lecture 7 Play Video	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 Play Video	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 Play Video	Independence, Basis, and Dimension In this video lecture, Prof. Gilbert Strang lectures on Independence, Basis and Dimension.
Lecture 10 Play Video	The Four Fundamental Subspaces In this video lecture, Prof. Gilbert Strang lectures on The Four Fundamental Subspaces.
Lecture 11 Play Video	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 Play Video	Graphs, Networks, Incidence Matrices In this video lecture, Prof. Gilbert Strang lectures on Graphs, Networks and Incidence Matrices.
Lecture 13 Play Video	Quiz 1 Review In this video lecture, Prof. Gilbert Strang gives a Quiz 1 Review.
III. Orthogonality
Lecture 14 Play Video	Orthogonal Vectors and Subspaces In this video lecture, Prof. Gilbert Strang lectures on Orthogonal Vectors and Subspaces.
Lecture 15 Play Video	Projections onto Subspaces In this video lecture, Prof. Gilbert Strang lectures on Projections onto Subspaces.
Lecture 16 Play Video	Projection Matrices and Least Squares In this video lecture, Prof. Gilbert Strang lectures on Projection Matrices and Least Squares
Lecture 17 Play Video	Orthogonal Matrices and Gram-Schmidt In this video lecture, Prof. Gilbert Strang lectures on Orthogonal Matrices and Gram-Schmidt.
IV. Determinants
Lecture 18 Play Video	Properties of Determinants In this video lecture, Prof. Gilbert Strang lectures on Properties of Determinants
Lecture 19 Play Video	Determinant Formulas and Cofactors In this video lecture, Prof. Gilbert Strang lectures on Determinant Formulas and Cofactors.
Lecture 20 Play Video	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 Play Video	Eigenvalues and Eigenvectors In this video lecture, Prof. Gilbert Strang lectures on Eigenvalues and Eigenvectors.
Lecture 22 Play Video	Diagonalization and Powers of A In this video lecture, Prof. Gilbert Strang lectures on Diagonalization and Powers of A.
Lecture 23 Play Video	Differential Equations and exp(At) In this video lecture, Prof. Gilbert Strang lectures on Differential Equations and exp(At).
Lecture 24 Play Video	Markov Matrices; Fourier Series In this video lecture, Prof. Gilbert Strang lectures on Markov Matrices and Fourier Series.
Lecture 25 Play Video	Quiz 2 Review In this video lecture, Prof. Gilbert Strang gives a Review for Quiz 2.
Lecture 26 Play Video	Symmetric Matrices and Positive Definiteness In this video lecture, Prof. Gilbert Strang lectures on Symmetric Matrices and Positive Definiteness.
Lecture 27 Play Video	Complex Matrices; Fast Fourier Transform In this video lecture, Prof. Gilbert Strang lectures on Complex Matrices and Fast Fourier Transform.
Lecture 28 Play Video	Positive Definite Matrices and Minima In this video lecture, Prof. Gilbert Strang lectures on Positive Definite Matrices and Minima
Lecture 29 Play Video	Similar Matrices and Jordan Form In this video lecture, Prof. Gilbert Strang lectures on Similar Matrices and Jordan Form.
Lecture 30 Play Video	Singular Value Decomposition In this video lecture, Prof. Gilbert Strang lectures on Singular Value Decomposition.
VI. Linear Transformations
Lecture 31 Play Video	Linear Transformations and Their Matrices In this video lecture, Prof. Gilbert Strang lectures on Linear Transformations and their Matrices.
Lecture 32 Play Video	Change of Basis; Image Compression In this video lecture, Prof. Gilbert Strang lectures on Change of Basis and Image Compression.
Lecture 33 Play Video	Quiz 3 Review In this video lecture, Prof. Gilbert Strang gives a Quiz 3 Review.
Lecture 34 Play Video	Left and Right Inverses; Pseudoinverse In this video lecture, Prof. Gilbert Strang lectures on Left and Right Inverses and Pseudoinverse.
Lecture 35 Play Video	Final Course Review In this video lecture, Prof. Gilbert Strang gives a final course Review.