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Determinants — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsDeterminants2 Marks
Question
If $|A|=2$, where $A$ is $2 \times 2$ matrix, find $|\operatorname{adj} A|$.
✓

Answer

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

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