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Matrices and Determinants question

2023 · 29 Jan · Shift 1 · Q38

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JEE Main
Mathematics
Matrices and Determinants
2023 · 29 Jan · Shift 1 · Q38

Matrices and Determinants question

2023 · 29 Jan · Shift 1 · Q38

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Consider the following system of equations

\alpha x+2y+z=12\alpha x+3y+z=13x+\alpha y+2z=\beta

for some

\alpha,\beta\in \mathbb{R}

. Then which of the following is NOT correct.

A
It has a solution for all $\alpha e-1$ and $\beta=2$
B
It has no solution if $\alpha=-1$ and $\beta e2$
C
It has no solution for $\alpha=-1$ and for all $\beta \in \mathbb{R}$
D
It has no solution for $\alpha=3$ and for all $\beta e2$

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