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Inverse matrix

From Encyclopedia of Mathematics
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of a square matrix over a field

The matrix for which , where is the identity matrix. Invertibility of a matrix is equivalent to its being non-singular (see Non-singular matrix). For the matrix , the inverse matrix is where

where is the cofactor of the element . For methods of computing the inverse of a matrix see Inversion of a matrix.

How to Cite This Entry:
Inverse matrix. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Inverse_matrix&oldid=33255