Edexcel FP1 2011 January — Question 2

Exam BoardEdexcel
ModuleFP1 (Further Pure Mathematics 1)
Year2011
SessionJanuary
TopicLinear transformations

2. $$\mathbf { A } = \left( \begin{array} { l l } 2 & 0
5 & 3 \end{array} \right) , \quad \mathbf { B } = \left( \begin{array} { r r } - 3 & - 1
5 & 2 \end{array} \right)$$
  1. Find \(\mathbf { A B }\). Given that $$\mathbf { C } = \left( \begin{array} { r r } - 1 & 0
    0 & 1 \end{array} \right)$$
  2. describe fully the geometrical transformation represented by \(\mathbf { C }\),
  3. write down \(\mathbf { C } ^ { 100 }\).
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