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  4. If adj B=A,|P|=|Q|=1 then adj (Q-1 B P-1)=

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Q. If adj $B=A,|P|=|Q|=1$ then adj $\left(Q^{-1} B P^{-1}\right)=$

Matrices

Solution:

adj $\left(Q^{-1} B P^{-1}\right)= $adj $\left(P^{-1}\right) $ adj $(B) $ adj$ \left(Q^{-1}\right)$
$=\frac{P}{|P|} A \frac{Q}{|Q|}$
$=P A Q$