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 system of equations x +2y+3z=1, x-y+4z=0, 2x+y+7z=1 has

For what value of lambda , the system of equations x+y+z=1, x+2y+4z= lambda , x+4y+10z= lambda^(2) is consistent

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.

Examine the consistency of the system of equations 3x-y -2z =2 2y - z =-1 3x- 5y =3

The number of solutions of the system of equations 2x+y-z=7,x-3y+2z=1, x+3y-3z=5 is

Determine the values of lambda for which the following system of equations x+y+3z=0,4x+3y+ lambda z=0, 2x+y+2z=0 has (i) a unique solution (ii) a non-trivial solution.

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 system of linear equations x+y+z =2, 2x+y-z=3, 3x+2y+kz= has a unique solution if

Solve the system: x+3y-2z=0,2x-y+4z=0,x-11y+14z=0 .