If A is a square of order 3, then |Adj(AdjA^2)|= - Vidyadip

MCQ

If $\text{A}$ is a square of order $3,$ then $|\text{Adj}(\text{Adj}\text{A}^2)|=$

A
$|\text{A}|^2$
B
$|\text{A}|^4$
✓
$|\text{A}|^8$
D
$|\text{A}|^{16}$

✓

Answer

Correct option: C.

$|\text{A}|^8$

$\text{KEY} : 3$
$|\text{Adj}(\text{Adj}\text{A}^2)|$
$\text{Q}=|\text{A}^2|^{(3-1)^2}=|\text{A}^2|^4=|\text{A}|^8$

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