MIT 18.06 Linear Algebra Spring 2005

MIT 18.06 Linear Algebra Spring 2005

35 Lectures ยท Aug 26, 1999

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

Related categories

Uploaded videos:

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39:48

Lecture 1: The Geometry of Linear Equations

Gilbert Strang

Feb 10, 2009

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105215 Views

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47:41

Lecture 2: Elimination with Matrices

Gilbert Strang

Feb 10, 2009

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41367 Views

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46:48

Lecture 3: Multiplication and Inverse Matrices

Gilbert Strang

Feb 10, 2009

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25306 Views

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Lecture 4: Factorization into A = LU

Gilbert Strang

Feb 10, 2009

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30266 Views

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47:41

Lecture 5: Transposes, Permutations, Spaces R^n

Gilbert Strang

Feb 10, 2009

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19149 Views

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46:00

Lecture 6: Column Space and Nullspace

Gilbert Strang

Feb 10, 2009

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22105 Views

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43:19

Lecture 7: Solving Ax = 0: Pivot Variables, Special Solutions

Gilbert Strang

Feb 10, 2009

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18657 Views

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Lecture 8: Solving Ax = b: Row Reduced Form R

Gilbert Strang

Feb 10, 2009

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16235 Views

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Lecture 9: Independence, Basis, and Dimension

Gilbert Strang

Feb 10, 2009

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17535 Views

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Lecture 10: The Four Fundamental Subspaces

Gilbert Strang

Feb 10, 2009

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16155 Views

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Lecture 11: Matrix Spaces; Rank 1; Small World Graphs

Gilbert Strang

Feb 10, 2009

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Lecture 12: Graphs, Networks, Incidence Matrices

Gilbert Strang

Feb 10, 2009

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11923 Views

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Lecture 13: Quiz 1 Review

Gilbert Strang

Feb 10, 2009

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Lecture 14: Orthogonal Vectors and Subspaces

Gilbert Strang

Feb 10, 2009

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Lecture 15: Projections onto Subspaces

Gilbert Strang

Feb 10, 2009

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Lecture 16: Projection Matrices and Least Squares

Gilbert Strang

Feb 10, 2009

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Lecture 17: Orthogonal Matrices and Gram-Schmidt

Gilbert Strang

Feb 10, 2009

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Lecture 18: Properties of Determinants

Gilbert Strang

Feb 10, 2009

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Lecture 19: Determinant Formulas and Cofactors

Gilbert Strang

Feb 10, 2009

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11795 Views

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Lecture 20: Cramer's Rule, Inverse Matrix, and Volume

Gilbert Strang

Feb 10, 2009

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11470 Views

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Lecture 21: Eigenvalues and Eigenvectors

Gilbert Strang

Feb 10, 2009

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23187 Views

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Lecture 22: Diagonalization and Powers of A

Gilbert Strang

Feb 10, 2009

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13789 Views

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Lecture 23: Differential Equations and exp(At)

Gilbert Strang

Feb 10, 2009

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12155 Views

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51:11

Lecture 24: Markov Matrices; Fourier Series

Gilbert Strang

Feb 10, 2009

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10242 Views

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Lecture 24b: Quiz 2 Review

Gilbert Strang

Feb 10, 2009

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7488 Views

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43:51

Lecture 25: Symmetric Matrices and Positive Definiteness

Gilbert Strang

Feb 10, 2009

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10059 Views

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Lecture 26: Complex Matrices; Fast Fourier Transform

Gilbert Strang

Feb 10, 2009

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9653 Views

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50:40

Lecture 27: Positive Definite Matrices and Minima

Gilbert Strang

Feb 10, 2009

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9653 Views

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45:55

Lecture 28: Similar Matrices and Jordan Form

Gilbert Strang

Feb 10, 2009

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10007 Views

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41:34

Lecture 29: Singular Value Decomposition

Gilbert Strang

Feb 10, 2009

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17465 Views

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49:26

Lecture 30: Linear Transformations and Their Matrices

Gilbert Strang

Feb 10, 2009

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10503 Views

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Lecture 31: Change of Basis; Image Compression

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Feb 10, 2009

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Lecture 32: Quiz 3 Review

Gilbert Strang

Feb 10, 2009

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Lecture 33: Left and Right Inverses; Pseudoinverse

Gilbert Strang

Feb 10, 2009

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8143 Views

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Lecture 34: Final Course Review

Gilbert Strang

Feb 10, 2009

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7831 Views

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