$A$ is an invertible matrix with $|A| = -4$. What is $|A^{-1}|$?

Explanation

1. 01

   $AA^{-1} = I$, so $|A||A^{-1}| = |I| = 1$.

2. 02

   $|A^{-1}| = \frac{1}{|A|} = -\frac{1}{4}$.