The value of for which the system of equations `ax +y+z=0,x+ay+z=0,x+y+z=0` possess a non-null solution is

The values of k for which the system of equations kx+y+z=0,x-ky+z=0,x+y+z=0 posseses non zero solutions is given by

The value of a for which the system of linear equations ax+y+z=0,ay+z=0,x+y+z=0 possesses non-trivial solution is

The value of a for which the system of linear equations ax+y+z=0, ay+z=0,x+y+z = 0 possesses non-trivial solution is

The values of k for which the system of equations kx+y+z=0,x-ky+z=0 and x+y+z=0 possesses non-trivial solution. Are

The values of k for which the system of equations kx+y+z=0,x-ky+z=0 and x+y+z=0 possesses non-trivial solution. Are

The values of a for which the system of equations x+y+z=0, x+ay+az=0 and x-ay+z=0 , possesses non-zero solutions, are given by