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
Videos
Unit I: Ax = b and the Four Subspaces

Graphs and Networks
Sep 4, 2019
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3 views

Solving Ax=b
Sep 4, 2019
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3 views

LU Decomposition
Sep 4, 2019
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3 views

Subspaces of Three Dimensional Space
Feb 18, 2024
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3 views

Elimination with Matrices
Sep 4, 2019
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5 views

Exam 1 Problem Solving
Sep 4, 2019
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4 views

Computing the Four Fundamental Subspaces
Sep 4, 2019
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3 views

Basis and Dimension
Sep 4, 2019
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3 views

Solving Ax=0
Sep 4, 2019
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4 views

Inverse Matrices
Sep 4, 2019
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3 views

Geometry of Linear Algebra
Sep 4, 2019
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6 views

Matrix Spaces
Sep 4, 2019
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4 views

Vector Subspaces
Sep 4, 2019
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3 views

An Overview of Key Ideas
Sep 4, 2019
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6 views
Unit II: Least Squares, Determinants and Eigenvalues

Eigenvalues and Eigenvectors
Sep 4, 2019
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2 views

Determinants and Volume
Sep 4, 2019
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4 views

Properties of Determinants
Sep 4, 2019
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4 views

Orthogonal Vectors and Subspaces
Feb 18, 2024
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0 views

Markov Matrices
Sep 4, 2019
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2 views

Differential Equations and exp(At)
Sep 4, 2019
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2 views

Least Squares Approximation
Sep 4, 2019
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5 views

Exam 2 Problem Solving
Sep 4, 2019
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2 views

Determinants
Sep 4, 2019
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3 views

Powers of a Matrix
Sep 4, 2019
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3 views

Gram-Schmidt Orthogonalization
Sep 4, 2019
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3 views

Projection onto Subspaces
Sep 4, 2019
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1 views
Unit III: Positive Definite Matrices and Applications

Complex Matrices
Sep 4, 2019
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3 views

Pseudoinverses
Sep 4, 2019
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3 views

Change of Basis
Sep 4, 2019
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3 views

Similar Matrices
Sep 4, 2019
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2 views

Exam 3 Problem Solving
Sep 4, 2019
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4 views

Linear Transformations
Sep 4, 2019
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3 views

Positive Definite Matrices and Minima
Sep 4, 2019
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5 views

Computing the Singular Value Decomposition
Sep 4, 2019
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3 views
Final Course Review

Final Exam Problem Solving
Sep 4, 2019
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2 views

Lecture 4: Factorization into A = LU
Feb 10, 2009
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30312 views

Lecture 1: The Geometry of Linear Equations
Feb 10, 2009
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105239 views

Lecture 9: Independence, Basis, and Dimension
Feb 10, 2009
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17538 views

Lecture 8: Solving Ax = b: Row Reduced Form R
Feb 10, 2009
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16236 views

Lecture 29: Singular Value Decomposition
Feb 10, 2009
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17467 views

Lecture 12: Graphs, Networks, Incidence Matrices
Feb 10, 2009
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11927 views

Lecture 14: Orthogonal Vectors and Subspaces
Feb 10, 2009
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16224 views

Lecture 32: Quiz 3 Review
Feb 10, 2009
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7209 views

Lecture 26: Complex Matrices; Fast Fourier Transform
Feb 10, 2009
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9655 views

Lecture 5: Transposes, Permutations, Spaces R^n
Feb 10, 2009
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19153 views

Lecture 31: Change of Basis; Image Compression
Feb 10, 2009
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13548 views

Lecture 11: Matrix Spaces; Rank 1; Small World Graphs
Feb 10, 2009
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13808 views

Lecture 13: Quiz 1 Review
Feb 10, 2009
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12241 views

Lecture 33: Left and Right Inverses; Pseudoinverse
Feb 10, 2009
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8147 views

Lecture 30: Linear Transformations and Their Matrices
Feb 10, 2009
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10507 views

Lecture 24b: Quiz 2 Review
Feb 10, 2009
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7490 views

Lecture 18: Properties of Determinants
Feb 10, 2009
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11305 views

Lecture 23: Differential Equations and exp(At)
Feb 10, 2009
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12158 views

Lecture 22: Diagonalization and Powers of A
Feb 10, 2009
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13792 views

Lecture 6: Column Space and Nullspace
Feb 10, 2009
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22117 views

Lecture 27: Positive Definite Matrices and Minima
Feb 10, 2009
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9661 views

Lecture 3: Multiplication and Inverse Matrices
Feb 10, 2009
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25309 views

Lecture 15: Projections onto Subspaces
Feb 10, 2009
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14175 views

Lecture 28: Similar Matrices and Jordan Form
Feb 10, 2009
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10008 views

Lecture 16: Projection Matrices and Least Squares
Feb 10, 2009
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13791 views

Lecture 21: Eigenvalues and Eigenvectors
Feb 10, 2009
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23195 views

Lecture 10: The Four Fundamental Subspaces
Feb 10, 2009
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16161 views

Lecture 2: Elimination with Matrices
Feb 10, 2009
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41374 views

Lecture 17: Orthogonal Matrices and Gram-Schmidt
Feb 10, 2009
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13207 views

Lecture 20: Cramer's Rule, Inverse Matrix, and Volume
Feb 10, 2009
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11474 views

Lecture 34: Final Course Review
Feb 10, 2009
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7836 views

Lecture 7: Solving Ax = 0: Pivot Variables, Special Solutions
Feb 10, 2009
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18660 views

Lecture 19: Determinant Formulas and Cofactors
Feb 10, 2009
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11798 views

Lecture 25: Symmetric Matrices and Positive Definiteness
Feb 10, 2009
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10063 views

Lecture 24: Markov Matrices; Fourier Series
Feb 10, 2009
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10246 views