Let \(A\) be a \( 3 \times 3 \) matrix such that \( \operatorname{adj} A=\left[\begin{array}{ccc}2 & -1 & 1 \\ -…

Let \(A\) be a \( 3 \times 3 \) matrix such that \( \operatorname{adj} A=\left[\begin{array}{ccc}2 & -1 & 1 \\ -1 & 0 & 2 \\ 1 & -2 & -1\end{array}\right] \) and \( B=\operatorname{adj}(\operatorname{adj} A) \).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, 3 Sep (Shift 2)]