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Matrices and Determinants question

2024 · 31 Jan · Shift 1 · Q43

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PYQ Library
JEE Main
Mathematics
Matrices and Determinants
2024 · 31 Jan · Shift 1 · Q43

Matrices and Determinants question

2024 · 31 Jan · Shift 1 · Q43

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

If the system of linear equations

\begin{aligned} & x-2 y+z=-4 \\ & 2 x+\alpha y+3 z=5 \\ & 3 x-y+\beta z=3 \end{aligned}

has infinitely many solutions, then

12 \alpha+13 \beta

is equal to

A
60
B
54
C
64
D
58

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