A) exactly three values of\[\lambda .\]
B) infinitely many values of \[\lambda .\]
C) exactly one value of \[\lambda .\]
D) exactly two values of \[\lambda .\]
Correct Answer: A
Solution :
\[\left| \begin{matrix} 1 & \lambda & -1 \\ \lambda & -1 & -1 \\ 1 & 1 & -\lambda \\ \end{matrix} \right|=0\Rightarrow \lambda =0,1,-1\]
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