| Exam Board | SPS |
|---|
| Module | SPS FM Pure (SPS FM Pure) |
|---|
| Year | 2025 |
|---|
| Session | June |
|---|
| Topic | Matrices |
|---|
5. Two matrices \(\mathbf { A }\) and \(\mathbf { B }\) satisfy the equation
$$\mathbf { A B } = \boldsymbol { I } + 2 \mathbf { A }$$
where \(\boldsymbol { I }\) is the identity matrix and \(\mathbf { B } = \left[ \begin{array} { c c } 3 & - 2
- 4 & 8 \end{array} \right]\)
\section*{Find \(\mathbf { A }\).}
[BLANK PAGE]