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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
    Last edited by a moderator: Apr 22, 2017
  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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