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Question

Let $\mathrm{S}$ be the set of values of $\lambda$, for which the system of equations

$6 \lambda x-3 y+3 z=4 \lambda^{2}$,

$2 x+6 \lambda y+4 z=1$,

$3 x+2 y+3 \lambda z=\lambda$ has no solution. Then $12 \sum_\limits{i \in S}|\lambda|$ is equal to ___________.

Correct Answer
24

Solution

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