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;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, 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 : (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 lambdax-y-z=0 x+y-lambdaz=0 has a non-trivial solution for

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=lambda x,x+2y+z=lambda y and -x-y=lambda z has a non-trivial solution: (a) is an empty sheet (b) is a singleton (c) contains more than two elements (d) contains exactly two elements

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 number of real values of lambda for which the system of equations lambda x+y+z=0,x-lambda y-z=0,x+y-lambda z=0 will have nontrivial solution is

Let the system of linear equations 4x+lambda y+2z=0 2x-y+z=0 mux+2y+3z=0, lambda , mu in R has a non-trivial solution. Then which of the following is true?

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=