SPS SPS FM Pure 2023 September — Question 6

Exam BoardSPS
ModuleSPS FM Pure (SPS FM Pure)
Year2023
SessionSeptember
TopicLinear transformations

6. The matrix \(\left( \begin{array} { l l } 1 & 3
0 & 1 \end{array} \right)\) represents a transformation \(P\).
  1. Describe fully the transformation \(P\). The matrix \(\mathbf { M }\) is given by \(\mathbf { M } = \left( \begin{array} { r r } - 3 & - 1
    - 1 & 0 \end{array} \right)\).
  2. Given that \(M\) represents transformation \(Q\) followed by transformation \(P\), find the matrix that represents the transformation Q and describe fully the transformation Q .
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