The number of distinct real values of $\lambda$ for which the system of linear equations $$x + y + z = 0$$ $$x + \lambda y + z = 0$$ $$x + y + \lambda z = 0$$ has a non-trivial solution is (A) 0 (B) 1 (C) 2 (D) 3
The number of distinct real values of $\lambda$ for which the system of linear equations
$$x + y + z = 0$$
$$x + \lambda y + z = 0$$
$$x + y + \lambda z = 0$$
has a non-trivial solution is\\
(A) 0\\
(B) 1\\
(C) 2\\
(D) 3