The main application of inverse matrices is in solving matrix equations. For example, if you know that \(AB=C\), and you only know the matrices \(B\) and \(C\), you need to be able to find \(A.\) These kinds of equations arise when fitting a line to a set of data, and being able to solve them is essential for many applications.

If \(A\) and \(B\) are square matrices, which of the matrices below are equal to \(AB\)? \[\text{I. } \left(A^{-1}B^{-1}\right)^{-1}\qquad \text{II. }\left(B^{-1}A^{-1}\right)^{-1}.\]

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