If $P$ and $Q$ are two invertible matrices of the same order, then $\operatorname{Adj}(Q P)$ is equal to

If $P$ and $Q$ are two invertible matrices of the same order, then $\operatorname{Adj}(Q P)$ is equal to
  1. $|\mathrm{P}||\mathrm{Q}| \mathrm{P}^{-1} \mathrm{Q}^{-1}$
  2. $|P||Q|(P Q)^{-1}$
  3. $|P||Q| \operatorname{Adj}(P Q)$
  4. $|\mathrm{P}||\mathrm{Q}| \operatorname{Adj}(\mathrm{QP})$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2018 (24 Apr Shift 2)

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