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Matrices and Determinants question

2024 · 30 Jan · Shift 2 · Q46

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Matrices and Determinants
2024 · 30 Jan · Shift 2 · Q46

Matrices and Determinants question

2024 · 30 Jan · Shift 2 · Q46

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Consider the system of linear equations

x+y+z=5, x+2 y+\lambda^2 z=9, x+3 y+\lambda z=\mu

, where

\lambda, \mu \in \mathbb{R}

. Then, which of the following statement is NOT correct?

A
System is consistent if $\lambda eq 1$ and $\mu=13$
B
System is inconsistent if $\lambda=1$ and $\mu eq 13$
C
System has unique solution if $\lambda eq 1$ and $\mu eq 13$
D
System has infinite number of solutions if $\lambda=1$ and $\mu=13$

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