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The greatest value of $c \in \mathbb{R}$ 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) $\dfrac{1}{2}$
(3) $2$
(4) $0$
BETA
