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<h1> Inverse of a Matrix </h1>
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<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.
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[[Category:MA265Fall2012Alvarado]]
 
[[Category:MA265Fall2012Alvarado]]

Revision as of 07:36, 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.

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