Let A be a non-singular matrix of order 3 and $|A|= 15$, then $|adj\, A|$ is equal to
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 225
Given $A$ is a non-singular matrix of order $3$
$|A|=15$
For an $n\times n$ matrix
$|\text{adj}\,A|=|A|^{\,n-1}$
Here $n=3$
$|\text{adj}\,A|=|A|^2$
$=15^2$
$=225$
The value of $|\text{adj}\,A|$ is $225$.