JEE Math Practice Question

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

1. A.$$6^4$$
2. B.$$2^8$$
3. C.$$4^8$$
4. D.$$2^4$$