SPS SPS FM 2023 January — Question 1

Exam BoardSPS
ModuleSPS FM (SPS FM)
Year2023
SessionJanuary
TopicMatrices

1. The matrices \(\mathbf { A }\) and \(\mathbf { B }\) are given by \(\mathbf { A } = \left( \begin{array} { l l } 2 & a
0 & 1 \end{array} \right)\) and \(\mathbf { B } = \left( \begin{array} { l l } 2 & a
4 & 1 \end{array} \right)\). I denotes the \(2 \times 2\) identity matrix. Find
  1. \(\mathbf { A } + 3 \mathbf { B } - 4 \mathbf { I }\),
  2. \(\mathbf { A B }\).
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