jee-main 2023 Q71

jee-main · India · session1_01feb_shift1 Matrices Linear System and Inverse Existence

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
(1) 2
(2) 12
(3) 4
(4) 6

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\\
(1) 2\\
(2) 12\\
(3) 4\\
(4) 6

Paper Questions

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