| Exam Board | AQA |
| Module | Further AS Paper 1 (Further AS Paper 1) |
| Year | 2024 |
| Session | June |
| Marks | 3 |
| Topic | Matrices |
11 The matrices \(\mathbf { A }\) and \(\mathbf { B }\) are given by
$$\mathbf { A } = \left[ \begin{array} { c c }
3 \mathrm { i } & - 2
a & - \mathrm { i }
\end{array} \right] \quad \text { and } \quad \mathbf { B } = \left[ \begin{array} { c c }
4 & 5
- 2 \mathrm { i } & - 1
\end{array} \right]$$
where \(a\) is a real number.
Calculate the product \(\mathbf { A B }\) in terms of \(a\)
Give your answer in its simplest form.
[0pt]
[3 marks]