"Let $x,y,z 1$ and $$A = \left[ {\matrix{ 1 & {{{\log }_x}y} & {{{\log }_x}z} \cr {{{\log }_y}x} & 2 & {{{\log }_y}z} \cr {{{\log }_z}x} & {{{\log }_z}y} & 3 \cr } } \right]$$. Then $\mathrm{|adj~(adj~A^2)|}$ is equal to"

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"$$
\begin{aligned}
& |A|=\frac{1}{\log x \log y \log z}\left|\begin{array}{ccc}
\log x & \log y & \log z \\
\log x & 2 \log y & \log z \\
\log x & \log y & 3 \log z
\end{array}\right|=\left|\begin{array}{ccc}
1 & 1 & 1 \\
1 & 2 & 1 \\
1 & 1 & 3
\end{array}\right|=2 \\\\
& \Rightarrow\left|\operatorname{adj}\left(\operatorname{adj} A^2\right)\right|=\left|\operatorname{adj}\left(A^2\right)\right|^2=\left(\left|A^2\right|^2\right)^2=|A|^8=2^8
\end{aligned}
$$"

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

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

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