For the system of linear equations α x + y + z = 1, x + α y + z =… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 1 February, Shift 2Solving Linear Equations (Matrix Method)

For the system of linear equations $\alpha x + y + z = 1$ , $x + \alpha y + z = 1$ , $x + y + \alpha z = \beta$ , which one of the following statements is NOT correct?

A
It has infinitely many solutions if $\alpha = 2$ and $\beta = -1$ .
B
It has no solution if $\alpha = -2$ and $\beta = 1$ .
C
$x + y + z = \frac{3}{4}$ if $\alpha = 2$ and $\beta = 1$ .
D
It has infinitely many solutions if $\alpha = 1$ and $\beta = 1$ .

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