Answer
$A^{-1}$
Work Step by Step
See p.634,
Procedure for Finding the Multiplicative lnverse of an lnvertible Matrix.
1. Form the augmented matrix...
2. Perform row operations on $[A|I_{n}]$ to obtain a matrix of the form $[I_{n}|B]$.
3. Matrix $B$ is $A^{-1}$.
4. Verify...