EMLA Q.4

0. The system of linear equations
(4d - 1)x +y + z = 0
- y + z = 0
(4d - 1) z = 0
has a non-trivial solution, if d equals

  • Option : B
  • Explanation : The system of homogeneous linear equations has a non-trivial solution if
    4d-1 1 1
    0 -1 1
    0 0 4d-1
    = 0
    => -(4d-1)2 = 0 => d = 1/4
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