MathematicsMedium244×since 2002Q4550The system of equations \matrixα x+y+z=α−1\crx+αy+z=α−1\crx+y+α z=α−1\cr\matrix{ {\alpha \,x + y + z = \alpha - 1} \cr {x + \alpha y + z = \alpha - 1} \cr {x + y + \alpha \,z = \alpha - 1} \cr }\matrixαx+y+z=α−1\crx+αy+z=α−1\crx+y+αz=α−1\cr has no solutions, if α\alphaα is :A−2-2−2Beither −2-2−2 or 111Cnot −2-2−2D111Check answerSkip