If 3x + 2y + z = 0, x + 4y + z = 0, 2x + y + 4z = 0 is a system of equations, then:
1
it can be reduced to a single equation and therefore a solution does not exist.
2
it has only the trivial solution x = 0, y = 0, z = 0.
3
the determinant of the matrix coefficient is zero.
4
it is inconsistent.