The system of linear equations
`x+lambday-z=0`
`lambdax-y-z=0`
`x+y-lambdaz=0`
has a non-trivial solution for

The system of linear equations x+lambda y-z=0 , lambda x-y+z=0 , x+y-lambda z=0 has a non-trivial solution for

The system of linear equations x + lambda y-z =0, lambdax-y -z =0, x + y -lambda z =0 has a non-trivial solution for

The system of linear equations x+lambda y-z=0;lambda x-y-z=0,x+y-lambda z=1 has a non - trivial solution for how many values of lambda

The system of linear equations: x+lambday-z=0 lamdax-y-z=0 x+y-lambdaz=0 has non-trivial solutoin for:

The set of all values of lambda for which the system of linear equations x - 2y - 2z = lambdax x + 2y + z = lambday -x -y = lambdaz has a non-trivial solution

The set of all values of lambda for which the system of linear equations x - 2y - 2z = lambdax x + 2y + z = lambday -x -y = lambdaz has a non-trivial solution

The set of all values of lambda for which the system of linear equations x - 2y - 2z = lambdax x + 2y + z = lambday -x -y = lambdaz has a non-trivial solution

The set of all values of lambda for which the system of linear equations x - 2y - 2z = lambdax x + 2y + z = lambday -x -y = lambdaz has a non-trivial solution