| Exam Board | OCR MEI |
|---|---|
| Module | FP2 (Further Pure Mathematics 2) |
| Year | 2013 |
| Session | June |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Invariant lines and eigenvalues and vectors |
| Type | Find eigenvalues of 3×3 matrix |
| Difficulty | Standard +0.3 This is a straightforward eigenvalue problem requiring students to find p, q, r such that the given vector is an eigenvector. It involves basic matrix multiplication and solving a simple system of linear equations - standard Further Maths content but routine application of the method with no conceptual challenges. |
| Spec | 4.03r Solve simultaneous equations: using inverse matrix |
1 & - 3 & - 2
\end{array} \right) \left( \begin{array} { l }
x \\
y \\
z
\end{array} \right) = \left( \begin{array} { c }
p \\
\hfill \mbox{\textit{OCR MEI FP2 2013 Q1}}