The matrix is .

Now we can find the inverse of the matrix, try to solve the matrix equation AX = I for X.

Let and

Equating the corresponding entries, and write two system of linear equations.

----> (1)  (Linear system with two varibles, )

----> (2)  (Linear system with two varibles, )

From linear system (1)

                           (Substitute )

                     (Simplify)

From linear system (2)

                           (Substitute )

                     (Simplify)

The inverse matrix of A is

The inverse matrix is .