The greatest value of


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 :

  1. $\frac{1}{2}$

  2. $-1$

  3. 0

  4. 2

Correct Option: 1


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