The values of $\lambda$for which the system of equations$\left(\lambda +5\right)x+\left(\lambda -4\right)y+z=0$, $\left(\lambda -2\right)x+\left(\lambda +3\right)y+z=0$, $\lambda x+\lambda y+z=0$ has a non-trivial solution is

• A

  -1,2

• B

  0,-1

• C

  0

• D

  Non of these