Matrix inverses

Properties of matrix inversion: inverse of the inverse, inverse of the transpose, inverse of a product; elementary matrices and corresponding row operations; a matrix is invertible if and only if it is row-equivalent to the identity matrix; row-reduction algorithm for computing matrix inverse

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Created On: August 25th, 2017; 7 years ago
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Matrix Inverses and Systems of Linear Equations - A First Course in Linear Algebra

The inverse of a square matrix, and solutions to linear systems with square coefficient matrices, are intimately connected.

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License: GFDL-1.2
Submitted At: September 11th, 2017; 7 years ago
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For n-by-n invertible matrices A and B, the product AB is invertible, and (AB)^-1=B^-1 A^-1.