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+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+lambday-z=0 lambdax-y-z=0 x+y-lambdaz=0 has a non-trivial solution for

The system of linear equations x+lambday-z=0 lambdax-y-z=0 x+y-lambdaz=0 has a non-trivial solution for : (1) infinitely many values of lambda . (2) exactly one value of lambda . (3) exactly two values of lambda . (4) exactly three 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:

If the system of linear equations x+2y+3z=lambda x, 3x+y+2z=lambday , 2x+3y+z=lambdaz has non trivial solution then lambda=

The system of linear equations (lamda+3)x+(lamda+2)y+z=0 3x+(lamda+3)y+z=0 2x+3y+z=0 has a non trivial solution

The system of linear equations x-y-2z=6.-x+y+z=mu,lambda x+y+z=3 has

Let system of linear equations x-y-z=lambda x,x+2y+z=lambda y,-x-y=lambda z have non trivial solutions then set containing all the values of lambda is (A) singleton set (B) has more than two elements (C) phi( D) has exactly two elements.