The value of for which the set of equations has a non trivial solution over the set…

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

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

Related theory

Determinants
Systems of linear equations
Solution of linear equations using matrices

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