JEE PYQ: Matrices And Determinants Question 37
Question 37 - 2020 (03 Sep Shift 2)
Let $A$ be a $3 \times 3$ matrix such that $\text{adj } A = \begin{bmatrix} 2 & -1 & 1 \ -1 & 0 & 2 \ 1 & -2 & -1 \end{bmatrix}$ and $B = \text{adj}(\text{adj } A)$. If $|A| = \lambda$ and $|(B^{-1})^T| = \mu$, then the ordered pair $(|\lambda|, \mu)$ is equal to:
(1) $\left(3, \dfrac{1}{81}\right)$
(2) $\left(9, \dfrac{1}{9}\right)$
(3) $(3, 81)$
(4) $\left(9, \dfrac{1}{81}\right)$
BETA
