Let P =[ p_ij ] and Q =[ q_ij ] be two square matrices of order 3 such that q_ij =2^( i + j -1) p_ij and det ( Q )=2^10. Then the value of det ( adj…

Let $\displaystyle \mathrm{P}=\left[\mathrm{p}_{\mathrm{ij}}\right]$ and $\displaystyle \mathrm{Q}=\left[\mathrm{q}_{\mathrm{ij}}\right]$ be two square matrices of order $\displaystyle 3$ such that $\displaystyle q_{\mathrm{ij}}=2^{(\mathrm{i}+\mathrm{j}-1)} \mathrm{p}_{\mathrm{ij}}$ and $\displaystyle \operatorname{det}(\mathrm{Q})=2^{10}$. Then the value of $\displaystyle \operatorname{det}(\operatorname{adj}(\operatorname{adj} \mathrm{P}))$ is: