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How find the cofacor of a matrix?

If A is a square matrix, then the minor of its entry a_{ij}, also known as the i,j, or (i,j), or (i,j)th minor of A, is denoted by M_{ij} and is defined to be the determinant of the submatrix obtained by removing from A its i-th row and j-th column.

It follows:

C_{ij}=(-1)^{i+j} M_{ij} \,

and C_{ij} is called the cofactor of a_{ij}, also referred to as the i,j, (i,j) or (i,j)th cofactor of A.


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