Q. If adj$\ B = A,\ |P| = \ \left| \mathcal{Q} \right| = 1$, then adj$(\mathcal{Q}^{- 1}BP^{- 1})$ is
A) $P\mathcal{Q}$
B) $\mathcal{Q}AP$
C) $PA\mathcal{Q}$
D) $PA^{- 1}\mathcal{Q}$
Explanation
(c)
$adj\left( \mathcal{Q}^{- 1}BP^{- 1} \right) = adj\left( P^{- 1} \right)adj(B)adj\left( \mathcal{Q}^{- 1} \right)$
$= \frac{P}{|P|}\ A\ \frac{\mathcal{Q}}{\left| \mathcal{Q} \right|}$
$= PA\mathcal{Q}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.