Edexcel FP3 2016 June — Question 1

Exam BoardEdexcel
ModuleFP3 (Further Pure Mathematics 3)
Year2016
SessionJune
Topic3x3 Matrices

1. $$\mathbf { A } = \left( \begin{array} { r r r } - 2 & 1 & - 3
k & 1 & 3
2 & - 1 & k \end{array} \right) \text {, where } k \text { is a constant }$$ Given that the matrix \(\mathbf { A }\) is singular, find the possible values of \(k\).