Do any of the systems have non-trivial solutions? Describe all
solutions in parametric form if they do.
(a) x₁2x₂ + x3 = 0 2x₁ + 4x₂ + x3 = 0 3x1 + 2x2 + x3 = 0 (b) x₁ - 2x2 2x1 +4x2 + x3 3x1 + 2x2 + x3 = 0 = 0 = 0 (c) x₁ + x₂ + x3 = 0