This is the only method I know of for finding an inverse matrix.

To find the inverse of a matrix A:
1) Find the determinant of A, |A|.

2) Find the adjoint of A, which is the transpose of the matrix of cofactors of A.

3) The inverse of A is given by:
A<sup>-1</sup> = (1/|A|) * (adjoint of A)

(If |A| = 0, then there is no inverse matrix.)