Inverse matrix
From Encyclopedia of Mathematics
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
Inverse matrix. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Inverse_matrix&oldid=33255