The real value of 'a' for which the equations `ax+y+z=0,-x+ay+z=0,-x-y+az=0` have non-zero solution is

The equations x+y-2z=0,2x-3y-z=0,x-5y+4z=k have non-zero solutions if k=

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

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 whch the sytem of equations x+ay+z=1 ax+y+z=1 x+y+az=1 has no solution is

The number of values of k for which the linear equations 4x+ky+2z=0 kx+4y+z=0 2x+2y+z=0 possess a non-zero solution is

The number of values of k for which the linear equations 4x+ky+2z=0, kx+4+z=0, 2x+2y+z=0 posses a non zero solution is