| Exam Board | OCR MEI |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2008 |
| Session | June |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Invariant lines and eigenvalues and vectors |
| Type | Find line of invariant points |
| Difficulty | Moderate -0.3 This is a straightforward application of finding invariant points by solving (M - I)x = 0, which is a standard technique taught in FP1. The calculation involves simple matrix subtraction and solving a system of linear equations with no conceptual difficulty, making it slightly easier than average but still requiring proper method. |
| Spec | 4.03g Invariant points and lines |
3 Find the equation of the line of invariant points under the transformation given by the matrix $\mathbf { M } = \left( \begin{array} { r r } - 1 & - 1 \\ 2 & 2 \end{array} \right)$.
\hfill \mbox{\textit{OCR MEI FP1 2008 Q3 [3]}}