9 A student claims:
"Given any two non-zero square matrices, \(\mathbf { A }\) and \(\mathbf { B }\), then \(( \mathbf { A B } ) ^ { - 1 } = \mathbf { B } ^ { - 1 } \mathbf { A } ^ { - 1 }\) "
9
- Explain why the student's claim is incorrect giving a counter example.
[0pt]
[2 marks]
9 - Refine the student's claim to make it fully correct.
[0pt]
[1 mark]
9 - Prove that your answer to part (b) is correct.
[0pt]
[3 marks]