Edexcel F1 2022 June — Question 3

Exam BoardEdexcel
ModuleF1 (Further Pure Mathematics 1)
Year2022
SessionJune
TopicMatrices

  1. \(\mathbf { M } = \left( \begin{array} { c c } k & k
    3 & 5 \end{array} \right) \quad\) where \(k\) is a non-zero constant
    1. Determine \(\mathbf { M } ^ { - 1 }\), giving your answer in simplest form in terms of \(k\).
    Hence, given that \(\mathbf { N } ^ { - 1 } = \left( \begin{array} { c c } k & k
    4 & - 1 \end{array} \right)\)
  2. determine \(( \mathbf { M N } ) ^ { - 1 }\), giving your answer in simplest form in terms of \(k\).