OCR MEI FP1 2008 June — Question 5

Exam BoardOCR MEI
ModuleFP1 (Further Pure Mathematics 1)
Year2008
SessionJune
Topic3x3 Matrices

5 You are given that \(\mathbf { A } = \left( \begin{array} { l l l } 1 & 2 & 4
3 & 2 & 5
4 & 1 & 2 \end{array} \right)\) and \(\mathbf { B } = \left( \begin{array} { r r r } - 1 & 0 & 2
14 & - 14 & 7
- 5 & 7 & - 4 \end{array} \right)\).
  1. Calculate AB.
  2. Write down \(\mathbf { A } ^ { - 1 }\).