Matrix inverses are motivated as a way to solve a linear system. The general algorithm of finding an inverse by row reducing an augmented matrix is described, and then implemented for a 3x3 matrix. Useful facts about inverses are stated and then illustrated with sample 2x2 matrices. (put first: need Example of finding the inverse of a 3-by-3 matrix by row reducing the augmented matrix)
- Created On
- February 19th, 2017
- 7 years ago
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- 3
- Type
- Video
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- Pre-class
- Perspective
- Introduction
- Language
- English
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- text/html; charset=utf-8
The inverse of a matrix (if it exists) can be found by row reducing the matrix augmented by the identity matrix. math.la.t.mat.inv.augmented
The inverse of a matrix can be used to solve a linear system. math.la.t.eqn.mat.inv
History
February 19th, 2017 7 years ago
Submitted by David Farmer
