Answer :
Step-by-step explanation:
Hint:
To show that \( A^{-1} = A' \), you need to find the inverse of matrix \( A \) and its transpose. Start by calculating the determinant of \( A \). Then, find the adjugate (adjoint) of \( A \). Use the formula \( A^{-1} = \frac{1}{\text{det}(A)} \text{adj}(A) \) to find the inverse. Finally, compare the inverse matrix with the transpose of \( A \) to verify the equality.