If |A| = 2, where A is 2 2 matrix, find |adj A|. - Vidyadip

Question

If $|A| = 2,$ where $A$ is $2 \times 2$ matrix, find $|$adj $A|.$

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Answer

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

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