Home
Class 12
MATHS
The set of all values of lambda for whic...

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

Promotional Banner

Similar Questions

Explore conceptually related problems

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: 2x_(1)-2x_(2)+x_(3)=lambda x_(1)2x_(1)-3x_(2)+2x_(3)=lambda x_(2) has a non-trivial solution,(1) is an empty set (2) is a singleton ( 3) contains two elements (4) contains more than two elements

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 x+lambda y-z=0 , lambda x-y+z=0 , x+y-lambda z=0 has a non-trivial solution for

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.

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

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

The number of distinct real values of lamda for which the system of linear equations x + y + z = lamda x , x + y + z = lamday, x + y + z + lamda z has non - trival solution.