Question:
If $A$ is a square matrix such that $A(\operatorname{adj} A) 5 /$, where $/$ denotes the identity matrix of the same order. Then, find the value of $|A|$.
Solution:
We know
$A(\operatorname{adj} A)=|A| I$
Here,
$A(\operatorname{adj} A)=5 I$
$\therefore|A|=5$