Consider the following system of equations: - $$\alpha x + 2y + z = 1$$ - $$2\alpha x + 3y + z = 1$$ - $$3x + \alpha y + 2z = \beta$$ For some $$\alpha, \beta \in \mathbb{R}$$. Then which of the following is NOT correct:

B. It has no solution for $$\alpha = -1$$ and for all $$\beta \in \mathbb{R}$$.

A. It has no solution if $$\alpha = -1$$ and $$\beta \ne 2$$.

C. It has no solution for $$\alpha = 3$$ and for all $$\beta \ne 2$$.

D. It has a solution for all $$\alpha \ne -1$$ and $$\beta = 2$$.

Consider the following system of equations: - α x + 2y + z = 1 -… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 29 January, Shift 1Solving Linear Equations (Matrix Method)

Consider the following system of equations:

For some $\alpha, \beta \in \mathbb{R}$ . Then which of the following is NOT correct:

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