| Exam Board | OCR |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2008 |
| Session | January |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Matrices |
| Type | Matrix arithmetic operations |
| Difficulty | Easy -1.2 This is a straightforward matrix arithmetic question testing basic operations (scalar multiplication, subtraction, and matrix multiplication) with small matrices. All parts are routine calculations requiring only direct application of definitions with no problem-solving or conceptual insight needed. Being FP1, it's slightly above basic A-level, but the operations themselves are mechanical. |
| Spec | 4.03b Matrix operations: addition, multiplication, scalar |
5 The matrices $\mathbf { A } , \mathbf { B }$ and $\mathbf { C }$ are given by $\mathbf { A } = \left( \begin{array} { l } 3 \\ 1 \\ 2 \end{array} \right) , \mathbf { B } = \left( \begin{array} { l } 4 \\ 0 \\ 3 \end{array} \right)$ and $\mathbf { C } = \left( \begin{array} { l l l } 2 & 4 & - 1 \end{array} \right)$. Find\\
(i) $\mathbf { A } - 4 \mathbf { B }$,\\
(ii) BC ,\\
(iii) CA .
\hfill \mbox{\textit{OCR FP1 2008 Q5 [8]}}