Mathematics

Problem

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 (a) 15 (b) 31/2 (c) 16 (d) 33/2