JEE Main 2016

JEE Main 2016 Mathematics question on Matrices and Determinants

The system of linear equations
x+λy−z=0x + \lambda y - z = 0; λx−y−z=0\lambda x - y - z = 0; x+y−λz=0x + y - \lambda z = 0
has a non-trivial solution for
  1. A.
    infinitely many values of λ\lambda
  2. B.
    exactly one value of λ\lambda
  3. C.
    exactly two values of λ\lambda
  4. D.
    exactly three values of λ\lambda
Show answer

Correct option: D

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