| Exam Board | SPS |
|---|
| Module | SPS FM (SPS FM) |
|---|
| Year | 2023 |
|---|
| Session | January |
|---|
| Topic | Invariant lines and eigenvalues and vectors |
|---|
4.
$$\mathbf { A } = \left( \begin{array} { r r }
4 & - 2
5 & 3
\end{array} \right)$$
The matrix \(\mathbf { A }\) represents the linear transformation \(M\).
Prove that, for the linear transformation \(M\), there are no invariant lines.