OCR MEI Further Extra Pure 2020 November — Question 1

Exam BoardOCR MEI
ModuleFurther Extra Pure (Further Extra Pure)
Year2020
SessionNovember
TopicInvariant lines and eigenvalues and vectors

1 The matrix \(\mathbf { A }\) is given by \(\mathbf { A } = \left( \begin{array} { r r } 0 & 2
3 & - 1 \end{array} \right)\).
Find
  • the eigenvalues of \(\mathbf { A }\),
  • an eigenvector associated with each eigenvalue.