| Exam Board | AQA |
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| Module | Further AS Paper 1 (Further AS Paper 1) |
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| Year | 2022 |
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| Session | June |
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| Topic | Matrices |
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11 Prove by induction that, for all integers \(n \geq 1\),
$$\left( \mathbf { A B A } ^ { - 1 } \right) ^ { n } = \mathbf { A B } ^ { n } \mathbf { A } ^ { - 1 }$$
where \(\mathbf { A }\) and \(\mathbf { B }\) are square matrices of equal dimensions, and \(\mathbf { A }\) is non-singular.