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Matrices And Determinants

JEE Main 2024 (Online) 1st February Morning Shift

MCQ+4 / -12024
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 :

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