Let S denote the set of all real values of λ such that the system… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 1 February, Shift 1Solving Linear Equations (Matrix Method)

Let $S$ denote the set of all real values of $\lambda$ such that the system of equations $\lambda x + y + z = 1$ $x + \lambda y + z = 1$ $x + y + \lambda z = 1$ is inconsistent. Then $\sum_{\lambda \in S} (|\lambda|^2 + |\lambda|)$ is equal to:

A
$2$
B
$12$
C
$4$
D
$6$

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