JEE Math Practice Question

Let $$A = \left( {\begin{matrix} 1 & { - 1} & 1 \\ 2 & 1 & { - 3} \\ 1 & 1 & 1 \\ \end{matrix} } \right).$$ and $$10$$ $$B = \left( {\begin{matrix} 4 & 2 & 2 \\ { - 5} & 0 & \alpha \\ 1 & { - 2} & 3 \\ \end{matrix} } \right)$$. if $$B$$ is the inverse of matrix $$A$$, then $$\alpha $$ is

1. A.$$5$$
2. B.$$-1$$
3. C.$$2$$
4. D.$$-2$$