AQA Further AS Paper 1 2022 June — Question 6

Exam BoardAQA
ModuleFurther AS Paper 1 (Further AS Paper 1)
Year2022
SessionJune
TopicMatrices

6 The matrix \(\mathbf { A }\) is given by $$\mathbf { A } = \left[ \begin{array} { c c } 5 & 2
- 3 & 4 \end{array} \right]$$ 6
  1. \(\quad\) Find \(\operatorname { det } \mathbf { A }\)
    6
  2. Find \(\mathbf { A } ^ { - 1 }\)
    6
  3. Given that \(\mathbf { A B } = \left[ \begin{array} { c c } 9 & 6
    5 & 12 \end{array} \right]\) and \(\mathbf { M } = 2 \mathbf { A } + \mathbf { B }\) find the matrix \(\mathbf { M }\)