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 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 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

Values of k for which the system of equation x+ky+3z=0, kx+2y+2z=0 and 2x+3y+4z=0 possesses non-trivial solution

Values of k for which the system of equation x+ky+3z=0, kx+2y+2z=0 and 2x+3y+4z=0 possesses non-trivial solution

The greatest value of for which the system of linear equations x-cy-cz=0 cx-y+cz=0 cx+cy-z=0 Has a non-trivial solution, is 1/k . The value of k is _________.

The greatest value of for which the system of linear equations x-cy-cz=0 cx-y+cz=0 cx+cy-z=0 Has a non-trivial solution, is 1/k . The value of k is _________.

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