The greatest value of $\mathrm{c} \in \mathrm{R}$ for which the system of linear equations
$x-c y-c z=0$
$c x-y+c z=0$
$c x+c y-z=0$
has a non-trivial solution, is :
$\frac{1}{2}$
$-1$
0
2
Correct Option: 1
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