Edexcel FP1 2010 June — Question 2

Exam BoardEdexcel
ModuleFP1 (Further Pure Mathematics 1)
Year2010
SessionJune
TopicMatrices
2. \(\mathbf { M } = \left( \begin{array} { c c } 2 a & 3
6 & a \end{array} \right)\), where \(a\) is a real constant.
  1. Given that \(a = 2\), find \(\mathbf { M } ^ { - 1 }\).
  2. Find the values of \(a\) for which \(\mathbf { M }\) is singular.
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