Question

If adj $B=A$ and $|P|=|Q|=1$, then $adj(\left(Q^{-1}{BP}^{-1}\right)$ is equal ?

• A. $APQ$
• B. $PAQ$
• C. $B$
• D. $A$

Answer 1

The correct option is A $APQ$

$adj\left|A^{-1}\right|=\frac{A}{\left|A\right|}$

$adj\left|Q^{-1}{BP}^{-1}\right|=adj\left|P^{-1}\right|\ast adj\left|B\right|\ast adj\left|Q^{-1}\right|=\frac{P}{\left|P\right|}\ast A\ast \frac{Q}{\left|Q\right|}=PAQ$