| Line 1: | Line 1: | ||
| + | <h1> Inverse of a Matrix </h1> | ||
| + | |||
| + | <p> An <i>n</i> x <i>n</i> matrix <i>A</i> is said to have an inverse provided there exists an <i>n</i> x <i>n</i> matrix <i>B</i> such that <i>AB</i> = <i>BA</i> = <i>I</i>. We call <i>B</i> the inverse of <i>A</i> and denote it as <i>A</i><sup>-1</sup>. In this case, A is also called nonsingular. | ||
| + | |||
| + | |||
| + | |||
| + | |||
| + | |||
| + | |||
| + | |||
| + | |||
| + | |||
| + | |||
| + | |||
| + | |||
| + | |||
| + | |||
[[Category:MA265Fall2012Alvarado]] | [[Category:MA265Fall2012Alvarado]] | ||
Revision as of 06:36, 10 December 2012
Inverse of a Matrix
An n x n matrix A is said to have an inverse provided there exists an n x n matrix B such that AB = BA = I. We call B the inverse of A and denote it as A-1. In this case, A is also called nonsingular.
