Find the real value(s) of \( a \) for which the system of equations \[ x+a y=0, y+a z=0, z+a x=0...

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Find the real value(s) of \( a \) for which the system of equations
\[
x+a y=0, y+a z=0, z+a x=0
\]
has infinitely many solutions.
  1. PW Solutions
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