The greatest value of $c \in R$ for which the system of linear equations $x - cy - cz = 0$, $cx - y + cz = 0$, $cx + cy - z = 0$ has a non-trivial solution, is (1) $-1$ (2) $2$ (3) $\frac{1}{2}$ (4) $0$
The greatest value of $c \in R$ for which the system of linear equations $x - cy - cz = 0$, $cx - y + cz = 0$, $cx + cy - z = 0$ has a non-trivial solution, is\\
(1) $-1$\\
(2) $2$\\
(3) $\frac{1}{2}$\\
(4) $0$