| Exam Board | Edexcel |
|---|---|
| Module | FP3 (Further Pure Mathematics 3) |
| Session | Specimen |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Invariant lines and eigenvalues and vectors |
| Type | Find eigenvalues of 2×2 matrix |
| Difficulty | Moderate -0.5 This is a straightforward eigenvalue calculation for a 2×2 matrix requiring only the characteristic equation det(A - λI) = 0 and solving a quadratic. While it's a Further Maths topic, the mechanical procedure is routine with no conceptual challenges, making it slightly easier than an average A-level question overall. |
| Spec | 4.03h Determinant 2x2: calculation |
Find the eigenvalues of the matrix $\begin{pmatrix} 7 & 6 \\ 6 & 2 \end{pmatrix}$
(Total 4 marks)
\hfill \mbox{\textit{Edexcel FP3 Q1}}