Edexcel FP1 2017 June — Question 2

Exam BoardEdexcel
ModuleFP1 (Further Pure Mathematics 1)
Year2017
SessionJune
TopicMatrices

2. $$\mathbf { A } = \left( \begin{array} { r r } 2 & - 1
4 & 3 \end{array} \right) , \quad \mathbf { P } = \left( \begin{array} { r r } 3 & 6
11 & - 8 \end{array} \right)$$
  1. Find \(\mathbf { A } ^ { - 1 }\)
    (2) The transformation represented by the matrix \(\mathbf { B }\) followed by the transformation represented by the matrix \(\mathbf { A }\) is equivalent to the transformation represented by the matrix \(\mathbf { P }\).
  2. Find \(\mathbf { B }\), giving your answer in its simplest form.