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JEE Main 2015

JEE Main 2015 Mathematics question on Matrices and Determinants

The set of all values of λ\lambda for which the system of linear equations 2x1−2x2+x3=λx12x_1 - 2x_2 + x_3 = \lambda x_1, 2x1−3x2+2x3=λx22x_1 - 3x_2 + 2x_3 = \lambda x_2, −x1+2x2=λx3-x_1 + 2x_2 = \lambda x_3 has a non-trivial solution
  1. A.
    is an empty set
  2. B.
    is a singleton set
  3. C.
    contains two elements
  4. D.
    contains more than two elements
Show answer

Correct option: C

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