JEE Main 2005Annual, Paper 1MathematicsMediumMatrices and Determinants245× since 2002The system of equations α x+y+z=α−1x+αy+z=α−1x+y+α z=α−1\matrix{ {\alpha \,x + y + z = \alpha - 1} \cr {x + \alpha y + z = \alpha - 1} \cr {x + y + \alpha \,z = \alpha - 1} \cr }αx+y+z=α−1x+αy+z=α−1x+y+αz=α−1 has no solutions, if α\alphaα is :AOption A. −2-2−2BOption B. either −2-2−2 or 111COption C. not −2-2−2DOption D. 111CheckSkip · show solution
