JEE Main 2016Session, Shift 1MathematicsEasyMatrices and Determinants245× since 2002The system of linear equations x+λy−z=0λx−y−z=0x+y−λz=0\matrix{ {x + \lambda y - z = 0} \cr {\lambda x - y - z = 0} \cr {x + y - \lambda z = 0} \cr }x+λy−z=0λx−y−z=0x+y−λz=0 has a non-trivial solution for :AOption A. infinitely many values of λ.\lambda .λ.BOption B. exactly one value of λ.\lambda .λ.COption C. exactly two values of λ.\lambda .λ.DOption D. exactly three values of λ.\lambda .λ.CheckSkip · show solution
