| Exam Board | SPS |
|---|---|
| Module | SPS FM (SPS FM) |
| Year | 2020 |
| Session | September |
| Marks | 4 |
| Topic | Invariant lines and eigenvalues and vectors |
| Type | Find line of invariant points |
| Difficulty | Standard +0.3 This is a standard Further Maths linear transformations question requiring students to find eigenvectors or solve (A-λI)v=0 for the invariant line. While it involves matrix algebra beyond standard A-level, it's a routine textbook exercise for FM students with a straightforward method, making it slightly easier than average overall. |
| Spec | 4.03g Invariant points and lines |
Find the invariant line of the transformation of the $x$-$y$ plane represented by the matrix $\begin{pmatrix} 2 & 0 \\ 4 & -1 \end{pmatrix}$
[4]
\hfill \mbox{\textit{SPS SPS FM 2020 Q11 [4]}}