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Matrices and Determinants question

2023 · 1 Feb · Shift 1 · Q26

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JEE Main
Mathematics
Matrices and Determinants
2023 · 1 Feb · Shift 1 · Q26

Matrices and Determinants question

2023 · 1 Feb · Shift 1 · Q26

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

S

denote the set of all real values of

\lambda

such that the system of equations

\lambda x+y+z=1x+\lambda y+z=1x+y+\lambda z=1

is inconsistent, then

\sum_{\lambda \in S}\left(|\lambda|^{2}+|\lambda|\right)

is equal to

A
12
B
2
C
4
D
6

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