If A is a matrix of order 3

Question:

If $A$ is a matrix of order 3 and $|A|=8$, then $|\operatorname{adj} A|=$

(a) 1

(b) 2

(c) $2^{3}$

(d) $2^{6}$

Solution:

(d) $2^{6}$

$|a d j A|=|A|^{n-1}$

$=8^{2}$

$=2^{6}$

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