OCR MEI FP1 2012 June — Question 1

Exam BoardOCR MEI
ModuleFP1 (Further Pure Mathematics 1)
Year2012
SessionJune
TopicLinear transformations

1 You are given that the matrix \(\left( \begin{array} { r r } - 1 & 0
0 & 1 \end{array} \right)\) represents a transformation \(A\), and that the matrix \(\left( \begin{array} { r r } 0 & 1
- 1 & 0 \end{array} \right)\) represents a transformation B .
  1. Describe the transformations A and B .
  2. Find the matrix representing the composite transformation consisting of A followed by B .
  3. What single transformation is represented by this matrix?