The number of real values of $\lambda$ for which the system of linear equations $$2 x + 4 y - \lambda z = 0$$ $$4 x + \lambda y + 2 z = 0$$ $$\lambda x + 2 y + 2 z = 0$$ has infinitely many solutions, is: (1) 0 (2) 1 (3) 2 (4) 3
The number of real values of $\lambda$ for which the system of linear equations
$$2 x + 4 y - \lambda z = 0$$
$$4 x + \lambda y + 2 z = 0$$
$$\lambda x + 2 y + 2 z = 0$$
has infinitely many solutions, is:\\
(1) 0\\
(2) 1\\
(3) 2\\
(4) 3