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Let $S$ be the set of all $\lambda \in \mathbb{R}$ for which the system of linear equations $2x - y + 2z = 2$, $x - 2y + \lambda z = -4$, $x + \lambda y + z = 4$ has no solution. Then the set $S$
(1) contains more than two elements.
(2) is an empty set.
(3) is a singleton.
(4) contains exactly two elements.
BETA
