[" The value(s) of "lambda" for which the systen "],[qquad [(1-lambda)x+3y],[x-(3+lambda)y],[3x+y]]

The value(s) of lambda for which the system of equations (1-lambda)x+3y-4z=0 x-(3+lambda)y + 5z=0 3x+y-lambdaz=0 possesses non-trivial solutions .

The value(s) of lambda for which the system of equations (1-lambda)x+3y-4z=0 x-(3+lambda)y + 5z=0 3x+y-lambdaz=0 possesses non-trivial solutions .

The values of lambda for which the system of equations x + y - 3 = 0 (1+lambda)x+(2+lambda)y-8=0 x-(1 +lambda) y + (2 + lambda) = 0 is consistent are a) -5//3,1 b) 2//3,-3 c) -1//3,-3 d)0,1

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 ______.

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.

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 value of lambda for which the straight line (x-lambda)/(3)=(y-1)/(2+lambda)=(z-3)/(-1) may lie on the plane x-2y=0 is

The values of lambda for which the function f(x)=lambda x^(3)-2 lambda x^(2)+(lambda+1)x+3 lambda is increasing through out number line (a) lambda in(-3,3)( b) lambda in(-3,0)( c )lambda in(0,3) (d) lambda in(1,3)

Is there a real value of lambda for which the image of the point (lambda,lambda-1) by the line mirror 3 x + y = 6 lambda is the point (lambda^2 + 1, lambda) If so find lambda . ,