JEE Main 20231 Feb, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002For the system of linear equations αx+y+z=1,x+αy+z=1,x+y+αz=β\alpha x+y+z=1,x+\alpha y+z=1,x+y+\alpha z=\betaαx+y+z=1,x+αy+z=1,x+y+αz=β, which one of the following statements is NOT correct?AOption A. It has infinitely many solutions if α=1\alpha=1α=1 and β=1\beta=1β=1BOption B. It has infinitely many solutions if α=2\alpha=2α=2 and β=−1\beta=-1β=−1COption C. x+y+z=34x+y+z=\frac{3}{4}x+y+z=43 if α=2\alpha=2α=2 and β=1\beta=1β=1DOption D. It has no solution if α=−2\alpha=-2α=−2 and β=1\beta=1β=1CheckSkip · show solution
