OCR FP1 2007 January — Question 9

Exam BoardOCR
ModuleFP1 (Further Pure Mathematics 1)
Year2007
SessionJanuary
TopicLinear transformations

9 The matrix \(\mathbf { C }\) is given by \(\mathbf { C } = \left( \begin{array} { r r } 0 & 3
- 1 & 0 \end{array} \right)\).
  1. Draw a diagram showing the unit square and its image under the transformation represented by \(\mathbf { C }\). The transformation represented by \(\mathbf { C }\) is equivalent to a rotation, R , followed by another transformation, S.
  2. Describe fully the rotation R and write down the matrix that represents R .
  3. Describe fully the transformation S and write down the matrix that represents S .