Q69. Let $\alpha \in ( 0 , \infty )$ and $A = \left[ \begin{array} { c c c } 1 & 2 & \alpha \\ 1 & 0 & 1 \\ 0 & 1 & 2 \end{array} \right]$. If $\operatorname { det } \left( \operatorname { adj } \left( 2 A - A ^ { T } \right) \cdot \operatorname { adj } \left( A - 2 A ^ { T } \right) \right) = 2 ^ { 8 }$, then $( \operatorname { det } ( A ) ) ^ { 2 }$ is equal to:\\
(1) 36\\
(2) 16\\
(3) 1\\
(4) 49