JEE Main 2019 · 12 Jan · Shift II

JEE Main 2019 Mathematics question on Matrices and Determinants

The set of all values of λ\lambda for which the system of linear equations x−2y−2z=λxx+2y+z=λyx - 2y - 2z = \lambda x x + 2y + z = \lambda y and −x−y=λz-x - y = \lambda z has a non-trivial solution
  1. A.
    contains exactly two elements.
  2. B.
    contains more than two elements.
  3. C.
    is a singleton.
  4. D.
    is an empty set.
Show answer

Correct option: C

[JEE Main 2019 · 12 Jan · Shift II]

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