If the system of equations $$3x - 2y + z = 0, \lambda x - 14y + 15z = 0, x + 2y + 3z = 0$$ has non-trivial solution, then $$\lambda$$ is a root of the equation

A

$$\lambda^2 - 4\lambda + 5 = 0$$

B

$$\lambda^2 - 29\lambda + 56 = 0$$

C

$$\lambda^2 - 29\lambda - 1600 = 0$$

D

$$\lambda^2 - 31\lambda + 58 = 0$$