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Matrices and Determinants question

2024 · 9 Apr · Shift 1 · Q47

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JEE Main
Mathematics
Matrices and Determinants
2024 · 9 Apr · Shift 1 · Q47

Matrices and Determinants question

2024 · 9 Apr · Shift 1 · Q47

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

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

. If the system of equations

\begin{aligned} & 3 x+5 y+\lambda z=3 \\ & 7 x+11 y-9 z=2 \\ & 97 x+155 y-189 z=\mu \end{aligned}

has infinitely many solutions, then

\mu+2 \lambda

is equal to :

A
24
B
25
C
27
D
22

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