Edexcel CP AS 2022 June — Question 7

Exam BoardEdexcel
ModuleCP AS (Core Pure AS)
Year2022
SessionJune
TopicProof by induction

  1. Prove by mathematical induction that, for \(n \in \mathbb { N }\)
$$\left( \begin{array} { l l } - 5 & 9
- 4 & 7 \end{array} \right) ^ { n } = \left( \begin{array} { c c } 1 - 6 n & 9 n
- 4 n & 1 + 6 n \end{array} \right)$$