$1(6-1)-2(2 \alpha-1)+3(\alpha-3)=2$

$5-4 \alpha+2+3 \alpha-9=2$

$-\alpha-4=0$

$\alpha=-4$

$8|\operatorname{Adj}(2 \operatorname{Adj}(2 A ))|$

$8\left|\operatorname{Adj}\left(2 \times 2^2 \operatorname{Adj}( A )\right)\right|$

$8\left|\operatorname{Adj}\left(2^3 \operatorname{AdjA}\right)\right|$

$8\left|2^6 \operatorname{Adj}(\operatorname{AdjA})\right|$

$2^3\left(2^6\right)^3|\operatorname{Adj}(\operatorname{Adj})|$

$2^3 \cdot 2^{18}| A |^4$

$2^{21} \cdot 2^4=2^{25}=\left(2^5\right)^5=(32)^5$

$n =5$

$\alpha=-4$