Edexcel F3 2021 January — Question 3

Exam BoardEdexcel
ModuleF3 (Further Pure Mathematics 3)
Year2021
SessionJanuary
Topic3x3 Matrices

3. $$\mathbf { A } = \left( \begin{array} { l l l } 2 & k & 2
2 & 2 & k
1 & 2 & 2 \end{array} \right) \quad \text { where } k \text { is a constant }$$
  1. Determine the values of \(k\) for which \(\mathbf { A }\) is singular. Given that \(\mathbf { A }\) is non-singular,
  2. find \(\mathbf { A } ^ { - 1 }\), giving your answer in terms of \(k\).
    3.