Q118 / 180 · KCET 2020 · Mathematics

If $A$ is a square matrix of order 3 and $|A|=5$, then $\mid A$ adj. $A \mid$ is

A
5
Correct answer
B
125
C
25
D
625

Solution

Given, $|A|=5$ $|\operatorname{Aadj} A|=|A|^{3}$ $|\operatorname{Aadj} A|=(5)^{3}=125$

Hence, the correct answer is option: 'B'.

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