| Exam Board | SPS |
|---|
| Module | SPS FM (SPS FM) |
|---|
| Year | 2020 |
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| Session | December |
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| Topic | Invariant lines and eigenvalues and vectors |
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10. The \(2 \times 2\) matrix \(\mathbf { M }\) is defined by
$$\mathbf { M } = \left( \begin{array} { c c }
0 & 0.25
0.36 & 0
\end{array} \right)$$
Find, by calculation, the equations of the two lines that pass through the origin, that remain invariant under the transformation represented by \(\mathbf { M }\).