The inverse of matrix is another matrix, which on multiplication with the given matrix gives the multiplicative identity.

For a matrix A, its inverse is A^-1, and A.A^-1 = A^-1·A = I, where I is the identity matrix.

The matrix whose determinant is non-zero and for which the inverse matrix can be calculated is called an invertible matrix.

The inverse matrix formula for a matrix A is given as,