Aug 26, 1999 
70 videos 
MIT 18.06 Linear Algebra Spring 2005
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
Unit I: Ax = b and the Four Subspaces
Graphs and Networks
Sep 4, 2019 3 views
Solving Ax=b
Sep 4, 2019 3 views
LU Decomposition
Sep 4, 2019 3 views
Subspaces of Three Dimensional Space
Feb 18, 2024 6 views
Elimination with Matrices
Sep 4, 2019 5 views
Exam 1 Problem Solving
Sep 4, 2019 4 views
Computing the Four Fundamental Subspaces
Sep 4, 2019 3 views
Basis and Dimension
Sep 4, 2019 3 views
Solving Ax=0
Sep 4, 2019 4 views
Inverse Matrices
Sep 4, 2019 3 views
Geometry of Linear Algebra
Sep 4, 2019 6 views
Matrix Spaces
Sep 4, 2019 4 views
Vector Subspaces
Sep 4, 2019 3 views
An Overview of Key Ideas
Sep 4, 2019 6 views
Unit II: Least Squares, Determinants and Eigenvalues
Eigenvalues and Eigenvectors
Sep 4, 2019 2 views
Determinants and Volume
Sep 4, 2019 4 views
Properties of Determinants
Sep 4, 2019 4 views
Orthogonal Vectors and Subspaces
Feb 18, 2024 0 views
Markov Matrices
Sep 4, 2019 2 views
Differential Equations and exp(At)
Sep 4, 2019 2 views
Least Squares Approximation
Sep 4, 2019 5 views
Exam 2 Problem Solving
Sep 4, 2019 2 views
Determinants
Sep 4, 2019 3 views
Powers of a Matrix
Sep 4, 2019 3 views
Gram-Schmidt Orthogonalization
Sep 4, 2019 3 views
Projection onto Subspaces
Sep 4, 2019 1 views
Unit III: Positive Definite Matrices and Applications
Complex Matrices
Sep 4, 2019 3 views
Pseudoinverses
Sep 4, 2019 3 views
Change of Basis
Sep 4, 2019 3 views
Similar Matrices
Sep 4, 2019 2 views
Exam 3 Problem Solving
Sep 4, 2019 4 views
Linear Transformations
Sep 4, 2019 3 views
Positive Definite Matrices and Minima
Sep 4, 2019 5 views
Computing the Singular Value Decomposition
Sep 4, 2019 3 views
Final Course Review
Final Exam Problem Solving
Sep 4, 2019 2 views
Lecture 24: Markov Matrices; Fourier Series
Feb 10, 2009 10282 views
Lecture 7: Solving Ax = 0: Pivot Variables, Special Solutions
Feb 10, 2009 18687 views
Lecture 1: The Geometry of Linear Equations
Feb 10, 2009 105352 views
Lecture 2: Elimination with Matrices
Feb 10, 2009 41405 views
Lecture 3: Multiplication and Inverse Matrices
Feb 10, 2009 25333 views
Lecture 4: Factorization into A = LU
Feb 10, 2009 30422 views
Lecture 5: Transposes, Permutations, Spaces R^n
Feb 10, 2009 19181 views
Lecture 6: Column Space and Nullspace
Feb 10, 2009 22167 views
Lecture 8: Solving Ax = b: Row Reduced Form R
Feb 10, 2009 16272 views
Lecture 9: Independence, Basis, and Dimension
Feb 10, 2009 17566 views
Lecture 10: The Four Fundamental Subspaces
Feb 10, 2009 16214 views
Lecture 11: Matrix Spaces; Rank 1; Small World Graphs
Feb 10, 2009 13851 views
Lecture 12: Graphs, Networks, Incidence Matrices
Feb 10, 2009 11963 views
Lecture 13: Quiz 1 Review
Feb 10, 2009 12285 views
Lecture 14: Orthogonal Vectors and Subspaces
Feb 10, 2009 16266 views
Lecture 15: Projections onto Subspaces
Feb 10, 2009 14214 views
Lecture 16: Projection Matrices and Least Squares
Feb 10, 2009 13828 views
Lecture 17: Orthogonal Matrices and Gram-Schmidt
Feb 10, 2009 13248 views
Lecture 18: Properties of Determinants
Feb 10, 2009 11342 views
Lecture 19: Determinant Formulas and Cofactors
Feb 10, 2009 11836 views
Lecture 20: Cramer's Rule, Inverse Matrix, and Volume
Feb 10, 2009 11501 views
Lecture 21: Eigenvalues and Eigenvectors
Feb 10, 2009 23256 views
Lecture 22: Diagonalization and Powers of A
Feb 10, 2009 13832 views
Lecture 23: Differential Equations and exp(At)
Feb 10, 2009 12200 views
Lecture 24b: Quiz 2 Review
Feb 10, 2009 7523 views
Lecture 25: Symmetric Matrices and Positive Definiteness
Feb 10, 2009 10092 views
Lecture 26: Complex Matrices; Fast Fourier Transform
Feb 10, 2009 9679 views
Lecture 27: Positive Definite Matrices and Minima
Feb 10, 2009 9693 views
Lecture 28: Similar Matrices and Jordan Form
Feb 10, 2009 10027 views
Lecture 29: Singular Value Decomposition
Feb 10, 2009 17499 views
Lecture 30: Linear Transformations and Their Matrices
Feb 10, 2009 10532 views
Lecture 31: Change of Basis; Image Compression
Feb 10, 2009 13578 views
Lecture 32: Quiz 3 Review
Feb 10, 2009 7229 views
Lecture 34: Final Course Review
Feb 10, 2009 7888 views
Lecture 33: Left and Right Inverses; Pseudoinverse
Feb 10, 2009 8167 views