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Glossary for Linear Algebra + Quick Tips

  1. Oct 18, 2005 #1
    Author: Gilbert Strang from MIT
     

    Attached Files:

  2. jcsd
  3. Oct 20, 2005 #2

    FredGarvin

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    Science Advisor

    Thanks Greg! That couldn't have come at a better time for me!
     
  4. Feb 9, 2006 #3
    Thank you, for this subject
     
  5. Mar 2, 2006 #4
    And in case you haven't checked it out already, there's also the accompanying OpenCourseware site. The video lectures on the page are pretty good, although you may want to download the full ~100 mb file to reduce stuttering if your connection is not up to it.
     
  6. Oct 9, 2010 #5

    Astronuc

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    Staff: Mentor

    W. Gilbert Strang's lectures on Linear Algebra are available on-line

    http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/

    Lecture 1 - The Geometry of Linear Equations
    Lecture 2 - Elimination with Matrices
    Lecture 3 - Multiplication and Inverse Matrices
    Lecture 4 - Factorization into A = LU
    Lecture 5 - Transposes, Permutations, Spaces Rn
    Lecture 6 - Column Space and Nullspace
    Lecture 7 - Solving Ax = 0: Pivot Variables, Special Solutions
    Lecture 8 - Solving Ax = b: Row Reduced Form R
    Lecture 9 - Independence, Basis, and Dimension
    Lecture 10 - The Four Fundamental Subspaces
    Lecture 11 - Matrix Spaces; Rank 1; Small World Graphs
    Lecture 12 - Graphs, Networks, Incidence Matrices
    Lecture 13 - Quiz 1 Review
    Lecture 14 - Orthogonal Vectors and Subspaces
    Lecture 15 - Projections onto Subspaces
    Lecture 16 - Projection Matrices and Least Squares
    Lecture 17 - Orthogonal Matrices and Gram-Schmidt
    Lecture 18 - Properties of Determinants
    Lecture 19 - Determinant Formulas and Cofactors
    Lecture 20 - Cramer's Rule, Inverse Matrix, and Volume
    Lecture 21 - Eigenvalues and Eigenvectors
    Lecture 22 - Diagonalization and Powers of A
    Lecture 23 - Differential Equations and exp(At)
    Lecture 24 - Markov Matrices; Fourier Series
    Lecture 24b - Quiz 2 Review
    Lecture 25 - Symmetric Matrices and Positive Definiteness
    Lecture 26 - Symmetric Matrices and Positive Definiteness
    Lecture 27 - Positive Definite Matrices and Minima
    Lecture 28 - Similar Matrices and Jordan Form
    Lecture 29 - Singular Value Decomposition
    Lecture 30 - Linear Transformations and Their Matrices
    Lecture 31 - Change of Basis; Image Compression
    Lecture 32 - Quiz 3 Review
    Lecture 33 - Left and Right Inverses; Pseudoinverse
    Lecture 34 - Final Course Review

    Also on Youtube - starting with Lecture 1 (Spring 2005) -
     
    Last edited by a moderator: Sep 25, 2014
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