The system of linear equations \[ \begin{array}{l} x+\lambda y-z=0 ...

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The system of linear equations
\[
\begin{array}{l}
x+\lambda y-z=0 \\
\lambda x-y-z=0 \\
x+y-\lambda z=0
\end{array}
\]
\( \mathrm{P} \)
W
has a non-trivial solution for :
(1) Exactly one value of \( \lambda \).
(2) Exactly two values of \( \lambda \).
(3) Exactly three values of \( \lambda \).
(4) Infinitely many values of \( \lambda \).
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