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 systme of linear equations x-2y-2z = lambda x, x +2y +z = lambda y " and "-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 and -x-y=lambdaz 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=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

Let [lambda] be the greatest integer less than or equal to lambda . The set of all values of lambda for which the system of linear equations x +y+z=4, 3x+2y+5z=3, 9x+4y + (28+[lambda])z=[lambda] has a solution is :

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-y-2z=6.-x+y+z=mu,lambda x+y+z=3 has

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 the linear equations x + y – z = 6, x + 2y – 3z = 14 and 2x + 5y – lambdaz = 9 (lambda in R) has a unique solution if

The system of linear equations lambdax+2y+2z=5 2lambda x+3y+5z=8 4x+lambday+6z=10 has :

The set of all values of lambda for which the system of linear equations 2x_(1)-2x_(2)+x_(3)=lambdax_(1) 2x_(1)-3x_(2)+2x_(3)=lambdax_(2) -x_(1)+2x_(2)=lambdax_(3) has a non-trivial solution,