Linear Algebra Course acquired through MIT OpenCourseWare by OCW

This collection of videos is from the video series Linear Algebra Course acquired through MIT OpenCourseWare

Linear Algebra course taught by Gilbert Strang from Spring 2005 Gilbert Strang, 18.06 Linear Algebra, Spring 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 16, 2008). License: Creative Commons BY-NC-SA. More info at: http://ocw.mit.edu/terms

The Geometry of Linear Equations preview image
00:39:53
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The Geometry of Linear Equations

  • The Geometry of Linear Equations -- Lecture #1. How to set up and solve matrix equations.
Elimination with Matrices preview image
00:49:48
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Elimination with Matrices

  • Elimination with Matrices -- Lecture #2. How to solve systems of linear equations by using elimi...
Multiplication and Inverse Matrices preview image
00:49:31
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Multiplication and Inverse Matrices

  • Multiplication and Inverse Matrices -- Lecture #3. How to multiply matrices and find and use inve...
Factorization into A = LU preview image
00:50:13
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Factorization into A = LU

  • Factorization into A = LU -- Lecture 4. How to use transposes of matrices and inverses, and perm...
Transposes, Permutations, Spaces R^n preview image
00:47:42
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Transposes, Permutations, Spaces R^n

  • Transposes, Permutations, Spaces R^n -- Lecture 5. Some more work with transposes and permutatio...
Column Space and Nullspace preview image
00:46:01
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Column Space and Nullspace

  • Column Space and Nullspace -- Lecture 6. An explanation of vector spaces and subspaces. Especia...
Solving Ax = 0, Pivot Variables, and Special Solutions preview image
00:43:19
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Solving Ax = 0, Pivot Variables, and Special Solutions

  • Solving Ax = 0, Pivot Variables, and Special Solutions -- Lecture 7. How to solve some situation...
Solving Ax = b: Row Reduced Form R preview image
00:47:13
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Solving Ax = b: Row Reduced Form R

  • Solving Ax = b: Row Reduced Form R -- Lecture 8. Learn how to solve equations that look like Ax ...
Vector Independence, Span, Basis, and Dimension preview image
00:50:08
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Vector Independence, Span, Basis, and Dimension

  • Vector Independence, Span, Basis, and Dimension -- Lecture 9. Learn when vectors are independent...
The Four Fundamental Subspaces preview image
00:49:19
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The Four Fundamental Subspaces

  • The Four Fundamental Subspaces -- Lecture 10. Learn what the four fundamental subspaces are.