Let A be a $n imes n$ matrix such that $|\mathrm{A}|=2$. If the determinant of the matrix

$\operatorname{Adj}\left(2 \cdot \operatorname{Adj}\left(2 \mathrm{~A}^{-1} ight) ight) \cdot$ is $2^{84}$, then $\mathrm{n}$ is equal to :

Question

Let A be a $n 	imes n$ matrix such that $|\mathrm{A}|=2$. If the determinant of the matrix

$\operatorname{Adj}\left(2 \cdot \operatorname{Adj}\left(2 \mathrm{~A}^{-1}ight)ight) \cdot$ is $2^{84}$, then $\mathrm{n}$ is equal to :

Accepted Answer

Correct answer: 5

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