Complex number matrices

Questions involving matrices with complex number entries, including determinants and products.

1 questions · Standard +0.8

Sort by: Default | Easiest first | Hardest first
AQA Further AS Paper 1 2021 June Q10
8 marks Standard +0.8
10
  1. Show that \(\operatorname { det } \mathbf { A } = a + \mathrm { i }\) where \(a\) is an integer to be determined. 10 Matrix A is given by 10
  2. Matrix B is given by $$\mathbf { B } = \left[ \begin{array} { c c } 14 - 2 \mathrm { i } & b \\ c & d \end{array} \right] \quad \text { and } \quad \mathbf { A B } = p$$ where \(b , c , d \in \mathbb { C }\) and \(p \in \mathbb { N }\) Find \(b , c , d\) and \(p\)