Edexcel FP1 — Question 1

Exam BoardEdexcel
ModuleFP1 (Further Pure Mathematics 1)
TopicLinear transformations

1. $$\mathbf { R } = \left( \begin{array} { l l } 0 & 1
1 & 0 \end{array} \right) \text { and } \mathbf { S } = \left( \begin{array} { r r } 0 & - 1
- 1 & 0 \end{array} \right)$$
  1. Find \(\mathbf { R } ^ { 2 }\).
  2. Find \(\mathbf { R S }\).
  3. Describe the geometrical transformation represented by \(\mathbf { R S }\).