Edexcel F3 2022 June — Question 6

Exam BoardEdexcel
ModuleF3 (Further Pure Mathematics 3)
Year2022
SessionJune
Topic3x3 Matrices
6. $$\mathbf { A } = \left( \begin{array} { r r r } x & 1 & 3
2 & 4 & x
- 4 & - 2 & - 1 \end{array} \right)$$
  1. Show that \(\mathbf { A }\) is non-singular for all real values of \(x\).
  2. Determine, in terms of \(x , \mathbf { A } ^ { - 1 }\)
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