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DETERMINANTS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDETERMINANTS2 Marks
Question
If $|A|=2$, where $A$ is $2 \times 2$ matrix, find $|\operatorname{adj} A|$.
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Answer

For any square matrix $A$ of order $n,|\operatorname{adj} A|=|A|^{n-1}$
Given, $|A|=2$
Here, order is 2
$\Rightarrow|\operatorname{adj} A|=|2|^{2-1}=2$

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