Mathematics Determinants

If  A  is a  3×3  matrix with determinant 2, what is the determinant of  \(\text{adj}(\text{adj}(\text{adj}(A^{-1})))\) ?

1
\(\frac{1}{512}\)
2
\(\frac{1}{1024}\)
3
\(\frac{1}{128}\)
4
\(\frac{1}{256}\)

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