Edexcel F1 2018 June — Question 4

Exam BoardEdexcel
ModuleF1 (Further Pure Mathematics 1)
Year2018
SessionJune
TopicMatrices

4. $$\mathbf { A } = \left( \begin{array} { c c } 2 p & 3 q
3 p & 5 q \end{array} \right)$$ where \(p\) and \(q\) are non-zero real constants.
  1. Find \(\mathbf { A } ^ { - 1 }\) in terms of \(p\) and \(q\). Given \(\mathbf { X A } = \mathbf { B }\), where $$\mathbf { B } = \left( \begin{array} { c c } p & q
    6 p & 11 q
    5 p & 8 q \end{array} \right)$$
  2. find the matrix \(\mathbf { X }\), giving your answer in its simplest form.