Edexcel FP1 — Question 5

Exam BoardEdexcel
ModuleFP1 (Further Pure Mathematics 1)
TopicMatrices

5. Given that \(a\) and \(b\) are non-zero constants and that $$\mathbf { X } = \left( \begin{array} { r r } a & 2 b
- a & 3 b \end{array} \right) ,$$
  1. find \(\mathbf { X } ^ { - 1 }\), giving your answer in terms of \(a\) and \(b\). Given also that \(\mathbf { Z X } = \mathbf { Y }\), where \(\mathbf { Y } = \left( \begin{array} { c c } 3 a & b
    a & 2 b \end{array} \right)\),
  2. find \(\mathbf { Z }\), simplifying your answer.