Express the inverse ((mathbf{A B})^{-1}) of the product (mathbf{A B}) in terms of (mathbf{A}) and (mathbf{B}).

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Express the inverse \((\mathbf{A B})^{-1}\) of the product \(\mathbf{A B}\) in terms of \(\mathbf{A}\) and \(\mathbf{B}\).

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