The greatest value of \( c \in R \) for which the system of linear ...

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The greatest value of \( c \in R \) for which the system of linear equations \( x-c y-c z=0, c x-y+c z=0 \), \( c x+c y-z=0 \)
P has a non-trivial solution, is (2019 Main, 8 April I)
W
(a) \( -1 \)
(b) \( \frac{1}{2} \)
(c) 2
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