Let \(S\) be the set of all \(\lambda \in R\) for which the system of linear equations \(\begin{aligned}& 2 x-y+2 z=…

Let \(S\) be the set of all \(\lambda \in R\) for which the system of linear equations

\(\begin{aligned}& 2 x-y+2 z=2\\ & x-2 y+\lambda z=-4 \\& x+\lambda y+z=4\end{aligned}\)

has no solution. Then the set \(S \quad\)

[JEE Main 2020, 2 Sep (Shift 1)]