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Matrices and Determinants question

2024 · 1 Feb · Shift 1 · Q42

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JEE Main
Mathematics
Matrices and Determinants
2024 · 1 Feb · Shift 1 · Q42

Matrices and Determinants question

2024 · 1 Feb · Shift 1 · Q42

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

If the system of equations

\begin{aligned} & 2 x+3 y-z=5 \\\\ & x+\alpha y+3 z=-4 \\\\ & 3 x-y+\beta z=7 \end{aligned}

has infinitely many solutions, then

13 \alpha \beta

is equal to :

A
1110
B
1120
C
1210
D
1220

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