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Let $\lambda \in \mathbb{R}$. The system of linear equations $2x_1 - 4x_2 + \lambda x_3 = 1$, $x_1 - 6x_2 + x_3 = 2$, $\lambda x_1 - 10x_2 + 4x_3 = 3$ is consistent for:
(1) exactly one negative value of $\lambda$
(2) exactly one positive value of $\lambda$
(3) every value of $\lambda$
(4) exactly two values of $\lambda$
BETA
