OCR FP1 2006 January — Question 6

Exam BoardOCR
ModuleFP1 (Further Pure Mathematics 1)
Year2006
SessionJanuary
TopicMatrices

6 The matrix \(\mathbf { C }\) is given by \(\mathbf { C } = \left( \begin{array} { l l } 1 & 2
3 & 8 \end{array} \right)\).
  1. Find \(\mathbf { C } ^ { - 1 }\).
  2. Given that \(\mathbf { C } = \mathbf { A B }\), where \(\mathbf { A } = \left( \begin{array} { l l } 2 & 1
    1 & 3 \end{array} \right)\), find \(\mathbf { B } ^ { - 1 }\).