If every element of a square non-singular matrix $A$ of order $n$ is multiplied by $k$ and the new matrix is denoted by $B$,then how are $|A^{-1}|$ and $|B^{-1}|$ related?
- A$|A^{-1}| = k|B^{-1}|$
- B$|A^{-1}| = \frac{1}{k}|B^{-1}|$
- C$|A^{-1}| = k^n|B^{-1}|$
- D$|A^{-1}| = k^{-n}|B^{-1}|$
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