Consider the system of equations
\[
\begin{array}{c}
\lambda x+y+z=1 \\
x+\lambda y+z=\lambda \\....
Consider the system of equations
\( \mathrm{P} \)
\[
\begin{array}{c}
\lambda x+y+z=1 \\
x+\lambda y+z=\lambda \\
x+y+\lambda z=\lambda^{2}
\end{array}
\]
W
Now, match the following lists:
\begin{tabular}{|l|l|l|l|}
\hline & \multicolumn{1}{|c|}{ List I } & & \multicolumn{1}{|c|}{ List II } \\
\hline (A) & \( \lambda=1 \) & P. & Unique solution \\
\hline (B) & \( \lambda \neq 1 \) & Q. & Infinite solution \\
\hline (C) & \( \lambda \neq 1, \lambda \neq-2 \) & R. & No solution \\
\hline (D) & \( \lambda=-2 \) & & \\
\hline \multicolumn{1}{|c|}{ A B \( \quad \) C } & \multicolumn{1}{|c|}{ D } \\
\hline
\end{tabular}
(1) Q
(2) \( \mathrm{R} \)
(3) \( \mathrm{R} \)
(4) Q
R
\( \mathrm{R} \)
\( \mathrm{P} \)
\( \mathrm{R} \)
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