Solve the equations : `Kx+2y-2z=1, 4x+2Ky-z=2,6x+6y+Kz=3` considering specially the case when `K=2.`

Solve the equations lambda x+2y-2z-1=0 , 4x+2lambday-z-2=0 , 6x+6y+lambdaz-3=0 considering specially the case when lambda=2 .

Solve the system of equations 2x+4y-z=0,x+2y+2z=5,3x+6y-7z=2 by Gauss Jordan Method.

Solve the system of homogenous equations x+y-z=0,x-2y+z=0,3x+6y-5z=0 .

The system of equations: x+ky+3z=0 , 3x+ky-2z=0 , 2x+3y-4z=0 has non- trivial solution. when k=

Solve the system of homogenous equations x+y-z=0,3x+6y-5z=0, x-2y+z=0

The system of equations x+ky+3z=0, 3x+ky-2z=0, 2x+3y-4z=0 has a non trivial solution when k=

Consider the system of equation x+2y-3z=a , 2x+6y-11z=b , x-2y+7c then

The system of linear equation 3x - 2y - kz =10 2x - 4y - 2z =6 x +2y -z =5m is consistent if :

Prove that the equations kx + y + z = 1, x + ky + z = k and x + y + kz = k^(2) will have unique solution when k ne 1 and k ne -2 . Solve the equations in this case.