If the inverse of exists, then
.
Multiply each side by .
.
The value of .
.
Apply identity property of matrix: .
.
If the inverse of does not exist, then
is singular and it is not possible to multiply
by its inverse to give the identity invergse and
has no solution.
If the invergse of does not exist, then
is singular and it is not possible to multiply
by its inverse to give the identity inverse and
has no solution.