The value of $k$ for which the set of equations $x + ky + 3z = 0, 3x + ky - 2z = 0, 2x + 3y - 4z = 0$ has a non-trivial solution over the set of rationals is

  • A
    $15$
  • B
    $31/2$
  • C
    $16$
  • D
    $33/2$

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