JEE Math Practice Question
The system of linear equations $$\begin{matrix} {x + \lambda y - z = 0} \\ {\lambda x - y - z = 0} \\ {x + y - \lambda z = 0} \\ \end{matrix} $$ has a non-trivial solution for :
- A.infinitely many values of $$\lambda .$$
- B.exactly one value of $$\lambda .$$
- C.exactly two values of $$\lambda .$$
- D.exactly three values of $$\lambda .$$
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