Linear Algebra

Linear Algebra

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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.

Prof. Gilbert Strang


    • Jul 31, 2019 LATEST EPISODE
    • infrequent NEW EPISODES
    • 46m AVG DURATION
    • 36 EPISODES


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    Latest episodes from Linear Algebra

    An Interview with Gilbert Strang on Teaching Linear Algebra

    Play Episode Listen Later Jul 31, 2019 7:34


    In this video, Professor Gilbert Strang shares how he infuses linear algebra with a sense of humanity as a way to engage students in learning mathematics.

    teaching gilbert strang linear algebra
    Lecture 34: Final Course Review

    Play Episode Listen Later Mar 3, 2017 43:26


    lecture
    Lecture 33: Left and Right Inverses; Pseudoinverse

    Play Episode Listen Later Mar 3, 2017 41:52


    left lecture inverses
    Lecture 32: Quiz 3 Review

    Play Episode Listen Later Mar 3, 2017 47:05


    quiz lecture
    Lecture 31: Change of Basis; Image Compression

    Play Episode Listen Later Mar 3, 2017 50:13


    lecture basis compression
    Lecture 30: Linear Transformations and Their Matrices

    Play Episode Listen Later Mar 3, 2017 49:27


    lecture transformations linear matrices
    Lecture 29: Singular Value Decomposition

    Play Episode Listen Later Mar 3, 2017 40:28


    lecture singular decomposition
    Lecture 27: Positive Definite Matrices and Minima

    Play Episode Listen Later Mar 3, 2017 50:40


    positive lecture definite minima matrices
    Lecture 26: Complex Matrices; Fast Fourier Transform

    Play Episode Listen Later Mar 3, 2017 47:52


    complex lecture matrices fourier transform
    Lecture 25: Symmetric Matrices and Positive Definiteness

    Play Episode Listen Later Mar 3, 2017 43:52


    positive lecture matrices symmetric definiteness
    Lecture 24b: Quiz 2 Review

    Play Episode Listen Later Mar 3, 2017 48:20


    quiz lecture
    Lecture 24: Markov Matrices; Fourier Series

    Play Episode Listen Later Mar 3, 2017 51:11


    lecture markov matrices fourier series
    Lecture 23: Differential Equations and exp(At)

    Play Episode Listen Later Mar 3, 2017 51:03


    lecture differential equations
    Lecture 22: Diagonalization and Powers of A

    Play Episode Listen Later Mar 3, 2017 51:50


    powers lecture
    Lecture 21: Eigenvalues and Eigenvectors

    Play Episode Listen Later Mar 3, 2017 51:22


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

    Play Episode Listen Later Mar 3, 2017 51:01


    matrix lecture inverse
    Lecture 19: Determinant Formulas and Cofactors

    Play Episode Listen Later Mar 3, 2017 53:17


    lecture formulas determinant
    Lecture 18: Properties of Determinants

    Play Episode Listen Later Mar 3, 2017 49:12


    lecture properties determinants
    Lecture 17: Orthogonal Matrices and Gram-Schmidt

    Play Episode Listen Later Mar 3, 2017 49:09


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    Lecture 16: Projection Matrices and Least Squares

    Play Episode Listen Later Mar 3, 2017 48:05


    lecture projection squares matrices
    Lecture 15: Projections onto Subspaces

    Play Episode Listen Later Mar 3, 2017 48:51


    lecture projections
    Lecture 14: Orthogonal Vectors and Subspaces

    Play Episode Listen Later Mar 3, 2017 49:47


    lecture vectors orthogonal
    Lecture 13: Quiz 1 Review

    Play Episode Listen Later Mar 3, 2017 47:40


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    Lecture 12: Graphs, Networks, Incidence Matrices

    Play Episode Listen Later Mar 3, 2017 47:57


    lecture networks graphs incidence matrices
    Lecture 11: Matrix Spaces; Rank 1; Small World Graphs

    Play Episode Listen Later Mar 3, 2017 45:55


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    Lecture 10: The Four Fundamental Subspaces

    Play Episode Listen Later Mar 3, 2017 49:20


    lecture fundamental
    Lecture 09: Independence, Basis, and Dimension

    Play Episode Listen Later Mar 3, 2017 50:14


    independence lecture basis dimension
    Lecture 08: Solving Ax = b: Row Reduced Form R

    Play Episode Listen Later Mar 3, 2017 47:19


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    Lecture 07: Solving Ax = 0: Pivot Variables, Special Solutions

    Play Episode Listen Later Mar 3, 2017 43:19


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    Lecture 06: Column Space and Nullspace

    Play Episode Listen Later Mar 3, 2017 46:01


    lecture column nullspace
    Lecture 05: Transposes, Permutations, Spaces R^n

    Play Episode Listen Later Mar 3, 2017 47:41


    lecture spaces permutations
    Lecture 04: Factorization into A = LU

    Play Episode Listen Later Mar 3, 2017 48:05


    lecture factorization
    Lecture 03: Multiplication and Inverse Matrices

    Play Episode Listen Later Mar 3, 2017 46:48


    lecture multiplication inverse matrices
    Lecture 02: Elimination with Matrices

    Play Episode Listen Later Mar 3, 2017 47:41


    lecture elimination matrices
    Lecture 01: The Geometry of Linear Equations

    Play Episode Listen Later Mar 3, 2017 39:49


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    Lecture 28: Similar Matrices and Jordan Form

    Play Episode Listen Later Mar 3, 2017 45:56


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