Question

If $P$ is a non singular matrix, then value of $adj\left(P^{-1}\right)$ in terms of $P$ is

• A. $P/|P|$
• B. $P|P|$
• C. $P$
• D. none of these

Answer 1

The correct option is A $P/|P|$

Given P is non-singular
$|P|\ne 0$
Now, $adj\left(P^{-1}\right)=(adjP{)}^{-1}$
$=(|P|P^{-1}{)}^{-1}$
$=(P^{-1}{)}^{-1}|P{|}^{-1}$
$=P/|P|$