If $A$ is an invertible matrix such that $\left|A^{-1}\right|=2$, find the value of $|A|$.

We know,

$|A|^{-1}=\frac{1}{|A|}$

$\Rightarrow 2=\frac{1}{|A|} \quad\left[\because|A|^{-1}=2\right]$

$\Rightarrow|A|=\frac{1}{2}$

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