The sum of possible value of `lambda` for which the system of equations `(lambda+1)x+8y=4 lambda` and `lambda x+(lambda+3)y=3 lambda-1` is inconsistent is

The sum of distinct value of lambda for which the system of equations (lambda -1 )x + (3lambda + 1) y + 2 lambda x= 0 (lambda -1) x + (4lambda - 2) y + (lambda + 3) x= 0 2x + (2lambda + 1) y + 3(lambda - 1) z=0 has non - zeor solutions is ______.

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

The number of real values of lambda for which the system of linear equations 2x+4y-lambda z=0,4x+lambda y+2z=0,lambda x+2y+2z=0 has infinitely many solutions,is: (A)0(B)1(C)2(D)3

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 value of lambda for which the equation lambda^2 - 4lambda + 3+ (lambda^2 + lambda -2)x + 6x^2 - 5x^3 =0 will have two roots equal to zero is

Determine the values of lambda for which the following system of equations: lambda x+3y-z=1x+2y+z=2-lambda x+y+2z=-1 has non-trival solutions.

A system of equations lambda x+y+z=1,x+lambda y+z=lambda,x+y+lambda z=lambda^(2) have no solution then value of lambda is

Let lambda be a real number for which the system of linear equations x+y+z=64x+lambda y-lambda z=lambda-23x+lambda y-4z=-5 has infinity many solutions then lambda is a root of the quadratic equation:

If the system of equation x+lambday+1=0,\ lambdax+y+1=0\ &\ x+y+lambda=0.\ is consistent the find the value of lambda

The value(s) of lambda which satisfies the equation det[[1+lambda,2+lambda,-81,-1-lambda,2+lambda]]=0 is/are