Let x, y, z >1 and A= [1, log_x y, log_x z; log_y x, 2, log_y z; log_z x, log_z y, 3]. Then | adj ( adj A^2)| is equal to

Let $\displaystyle x, \mathrm{y}, \mathrm{z}>1$ and $\displaystyle A=\left[\begin{array}{ccc}1 & \log _x y & \log _x z \\ \log _y x & 2 & \log _y z \\ \log _z x & \log _z y & 3\end{array}\right]$. Then $\displaystyle \left|\operatorname{adj}\left(\operatorname{adj} \mathrm{A}^2\right)\right|$ is equal to