It is seldom necessary to compute an explicit inverse of a matrix. In particular, do not attempt to solve a system of equations

Ax

=

b

by first computing

A

-1

and then forming the matrix-vector product

x

=

A

-1

b

. Call a solver routine instead (see Routines for Solving Systems of Linear Equations); this is more efficient and more accurate.

However, matrix inversion routines are provided for the rare occasions when an explicit inverse matrix is needed.