| Exam Board | OCR MEI |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2009 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Matrices |
| Type | Solving linear systems using matrices |
| Difficulty | Moderate -0.8 This is a straightforward two-part question testing basic matrix inversion (using the standard 2×2 formula) and applying it to solve simultaneous equations. Both are routine procedures covered early in FP1 with no problem-solving or insight required, making it easier than average even for Further Maths students. |
| Spec | 4.03n Inverse 2x2 matrix4.03r Solve simultaneous equations: using inverse matrix |
1 (i) Find the inverse of the matrix $\mathbf { M } = \left( \begin{array} { r r } 4 & - 1 \\ 3 & 2 \end{array} \right)$.\\
(ii) Use this inverse to solve the simultaneous equations
$$\begin{aligned}
& 4 x - y = 49 \\
& 3 x + 2 y = 100
\end{aligned}$$
showing your working clearly.
\hfill \mbox{\textit{OCR MEI FP1 2009 Q1 [5]}}