| Exam Board | SPS |
|---|
| Module | SPS FM Pure (SPS FM Pure) |
|---|
| Year | 2023 |
|---|
| Session | June |
|---|
| Topic | Matrices |
|---|
7. Prove that for all \(n \in \mathbb { N }\)
$$\left( \begin{array} { c c }
3 & 4 i
i & - 1
\end{array} \right) ^ { n } = \left( \begin{array} { c c }
2 n + 1 & 4 n i
n i & 1 - 2 n
\end{array} \right)$$
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