Find `lambda` for which the system of equations `x+y-2z=0,2x-3y+z=0,x-5y+4z=lambda` is consistent and find the solutions for all such values of `lambdadot`

The value of 'lambda' so that the system of equations x+2y+3=0 3x+4y+4=0 7x-10 y+lambda=0 is consistent, is

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

If the system of equations x+y+z=6, x+2y+lambdaz=10 and x+2y+3z=mu has infinite solutions, then the value of lambda+2mu is equal to

Find the value of lambda for which the homogeneous system of equations: 2x+3y-2z=0 , 2x-y+3z=0 , 7x+lambday-z=0 has non-trivial solutions. Find the solution.

Find the value of lambda for which the homogeneous system of equations: 2x+3y-2z=0 2x-y+3z=0 7x+lambday-z=0 has non-trivial solutions. Find the solution.

If the system of equations 3x-2y+z=0, lambda x-14y+15z=0, x+2y+3z=0 have a non trivial solution, then the value of lambda^(2) must be

Value of 'alpha' for which system of equations x+y+z=1,x+2y+4z=alpha and x+4y+10 z=alpha^2 is consistent, are

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

consider the system of equations : ltbr. 3x-y +4z=3 x+2y-3z =-2 6x+5y+lambdaz =-3 Prove that system of equation has at least one solution for all real values of lambda .also prove that infinite solutions of the system of equations satisfy (7x-4)/(-5)=(7y+9)/(13)=z

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 .