If the following system has non-trivial solution px + qy +...

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If the following system has non-trivial solution,
px + qy + rz = 0
qx + ry + pz = 0
rx + py + qz = 0
then which one of the following options is TRUE?

A. p - q + r = 0 or p = q = -r

B. p + q - r = 0 or p = -q = r

C. p + q + r = 0 or p = q = r

D. p - q + r = 0 or p = -q = -r

Answer: Option C

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