### 3 videos in "Transposes, Permutations, and Inverses"

## Factorization into A = LU

Factorization into A = LU

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Part of video series Linear Algebra Course acquired through MIT OpenCourseWare

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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Factorization into A = LU -- Lecture 4. How to use transposes of matrices and inverses, and permutation matrices.

- When is a matrix invertible?
- What is the transpose of a matrix?
- What is LU?
- How are permutations used in Linear Algebra?
- What is a permutation matrix?
- When is the inverse of a matrix just its transpose?

This lesson elaborates on lecture #3 and delves a bit deeper into transposes and does a good job of introducing permutation matrices. A good but somewhat redundant lecture.