Transposes, Permutations, Spaces R^n -- Lecture 5. Some more work with transposes and permutation matrices. Also, an introduction into vector spaces.
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.
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Questions answered by this video:
What is a transpose of a matrix?
What is a permutation matrix?
What is a vector space?
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Another good video of undergraduate linear algebra. Watch this video for more help and information after lecture 4.