| Exam Board | OCR |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2008 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Matrices |
| Type | Matrix arithmetic operations |
| Difficulty | Moderate -0.8 This is a straightforward Further Maths question testing basic matrix operations: scalar multiplication of identity matrix and subtraction (routine), plus finding a 2×2 inverse using the standard formula. While Further Maths content, these are foundational skills requiring only direct application of learned procedures with no problem-solving or insight needed. |
| Spec | 4.03b Matrix operations: addition, multiplication, scalar4.03n Inverse 2x2 matrix |
1 The matrix $\mathbf { A }$ is given by $\mathbf { A } = \left( \begin{array} { l l } 4 & 1 \\ 5 & 2 \end{array} \right)$ and $\mathbf { I }$ is the $2 \times 2$ identity matrix. Find\\
(i) $\mathbf { A } - 3 \mathbf { I }$,\\
(ii) $\mathrm { A } ^ { - 1 }$.
\hfill \mbox{\textit{OCR FP1 2008 Q1 [4]}}