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Matrices And Determinants

JEE Main 2023 (Online) 31st January Evening Shift

INTEGER+4 / -12023
Let A be a $n \times n$ matrix such that $|\mathrm{A}|=2$. If the determinant of the matrix

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

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