The set of equations \[ \begin{array}{l} \lambda x-y+(\cos \theta) z=0 \\ 3 x+y+2 z=0 \\ (\cos \...

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The set of equations
\[
\begin{array}{l}
\lambda x-y+(\cos \theta) z=0 \\
3 x+y+2 z=0 \\
(\cos \theta) x+y+2 z=0 \\
0 \leq \theta2 \pi, \text { has non-trivial solution(s) }
\end{array}
\]
(a) for no value of \( \lambda \) and \( \theta \)
(b) for all values of \( \lambda \) and \( \theta \)
(c) for all values of \( \lambda \) and only two values of \( \theta \)
(d) for only one value of \( \lambda \) and all values of \( \theta \)
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