Moderate -0.8 This is a straightforward matrix algebra manipulation requiring knowledge of inverse properties: (AB)^{-1} = B^{-1}A^{-1}. The simplification involves only 2-3 steps of applying standard rules with no conceptual difficulty or problem-solving required. While it's Further Maths content, it's a routine drill exercise testing basic matrix manipulation skills.
5 Given that \(\mathbf { A }\) and \(\mathbf { B }\) are non-singular square matrices, simplify
$$\mathbf { A B } \left( \mathbf { A } ^ { - 1 } \mathbf { B } \right) ^ { - 1 } .$$
5 Given that $\mathbf { A }$ and $\mathbf { B }$ are non-singular square matrices, simplify
$$\mathbf { A B } \left( \mathbf { A } ^ { - 1 } \mathbf { B } \right) ^ { - 1 } .$$
\hfill \mbox{\textit{OCR FP1 2011 Q5 [3]}}