Inverse of matrix is calculated using adjoint and determinant of matrix. The inverse of matrix A = adj (A) /|A| i.e inverse of any matrix A is equal to adjoint of A divided by determinant of A. In the last posts, I discussed about calculating adjoint and determinant of matrices.
Note that the matrix should have non-zero determinant to have an inverse. If, matrix has zero determinant then it is called singular matrix. So, the inverse is not defined for a singular matrix. In other words, we can say a matrix is invertible if it is non-singular.
[…] formula to calculate inverse of matrix, we can say that {(AB)^{ – 1}} = adj(AB)/det (AB) […]