Edexcel FP1 2009 June — Question 5

Exam BoardEdexcel
ModuleFP1 (Further Pure Mathematics 1)
Year2009
SessionJune
TopicMatrices

5. \(\mathbf { R } = \left( \begin{array} { l l } a & 2
a & b \end{array} \right)\), where \(a\) and \(b\) are constants and \(a > 0\).
  1. Find \(\mathbf { R } ^ { 2 }\) in terms of \(a\) and \(b\). Given that \(\mathbf { R } ^ { 2 }\) represents an enlargement with centre ( 0,0 ) and scale factor 15 ,
  2. find the value of \(a\) and the value of \(b\).