Edexcel FP1 2013 June — Question 1

Exam BoardEdexcel
ModuleFP1 (Further Pure Mathematics 1)
Year2013
SessionJune
TopicMatrices
  1. \(\mathbf { M } = \left( \begin{array} { c c } a & 1
    1 & 2 - a \end{array} \right)\), where \(a\) is a constant.
    1. Find det M in terms of \(a\).
      (2)
    A triangle \(T\) is transformed to \(T ^ { \prime }\) by the matrix M .
    Given that the area of \(T ^ { \prime }\) is 0 ,
  2. find the value of \(a\).
    (3)
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