CAIE FP1 2012 November — Question 2

Exam BoardCAIE
ModuleFP1 (Further Pure Mathematics 1)
Year2012
SessionNovember
Topic3x3 Matrices

2 Find the set of values of \(a\) for which the system of equations $$\begin{aligned} a x + y + 2 z & = 0
3 x - 2 y & = 4
3 x - 4 y - 6 a z & = 14 \end{aligned}$$ has a unique solution.