18.
$$\mathbf { M } = \left( \begin{array} { l l }
4 & - 5
6 & - 9
\end{array} \right)$$
- Find the eigenvalues of \(\mathbf { M }\).
A transformation \(T : \mathbb { R } ^ { 2 } \rightarrow \mathbb { R } ^ { 2 }\) is represented by the matrix \(\mathbf { M }\). There is a line through the origin for which every point on the line is mapped onto itself under \(T\).
- Find a cartesian equation of this line.
[0pt]
[P6 June 2003 Qn 3]