Edexcel FP2 AS 2022 June — Question 2

Exam BoardEdexcel
ModuleFP2 AS (Further Pure 2 AS)
Year2022
SessionJune
TopicInvariant lines and eigenvalues and vectors

  1. In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable.
$$\mathbf { M } = \left( \begin{array} { r r } 4 & 2
3 & - 1 \end{array} \right)$$ Find a matrix \(\mathbf { P }\) and a diagonal matrix \(\mathbf { D }\) such that $$\mathbf { P } ^ { - 1 } \mathbf { M P } = \mathbf { D }$$