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Mathematics-Online lexicon:

Inverse Matrix

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For an invertible linear map $ v\mapsto Av$ the inverse of matrix $ A$ is denoted by $ A^{-1}$, that is,

$\displaystyle A A^{-1} = A^{-1} A = E $

where

$\displaystyle E = \left(\begin{array}{cccc} 1 & 0 & \cdots & 0 \\ 0 & 1 & \c... ... \\ \vdots & 0 & \ddots & \vdots \\ 0 & & \cdots & 1 \end{array}\right) $

is the identity matrix.
(Authors: Burkhardt/Höllig/Hörner)

see also:

[Examples]
  automatically generated 3/15/2005