Let S be the set of values of λ, for which the system of equation… | JEE Main 2023 Mathematics PYQ

NVAMediumJEE Main 2023 · 10 April, Shift 2Solving Linear Equations (Matrix Method)

Let $S$ be the set of values of $\lambda$ , for which the system of equations $\begin{aligned} 6\lambda x - 3y + 3z &= 4\lambda^2, \\ 2x + 6\lambda y + 4z &= 1, \\ 3x + 2y + 3\lambda z &= \lambda \end{aligned}$ has no solution. Then $12 \sum_{\lambda \in S} |\lambda|$ is equal to:

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