Let A be a \( 3 \times 3 \) matrix such that P \( \operatorname{adj...

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Let A be a \( 3 \times 3 \) matrix such that
P \( \operatorname{adj} A=\left[\begin{array}{ccc}2 & -1 & 1 \\ -1 & 0 & 2 \\ 1 & -2 & -1\end{array}\right] \) and \( B=\operatorname{adj}(\operatorname{adj} A) \)
W)
If \( |\mathrm{A}|=\lambda \) and \( \left|\left(\mathrm{B}^{-1}\right)^{\mathrm{T}}\right|=\mu \), then the ordered pair, \( (|\lambda|, \mu) \) is equal to
[JEE Main-2020 (September)]
(a) \( (3,81) \)
(b) \( \left(9, \frac{1}{9}\right) \)
(c) \( \left(3, \frac{1}{81}\right) \)
(d) \( \left(9, \frac{1}{81}\right) \)
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