Edexcel CP2 2021 June — Question 2

Exam BoardEdexcel
ModuleCP2 (Core Pure 2)
Year2021
SessionJune
TopicInvariant lines and eigenvalues and vectors

2. $$A = \left( \begin{array} { r r } 4 & - 2
5 & 3 \end{array} \right)$$ The matrix \(\mathbf { A }\) represents the linear transformation \(M\).
Prove that, for the linear transformation \(M\), there are no invariant lines.
(5)