The simultaneous equations `Kx+2y-z=1, (K-1)y-2z=2` and `(K+2)z=3` have only one solution, when

The system of equations (a+1)x+2y-z=1, ay-2z=2 and (a+2)z=3 have only one solution then a=

The system of equations (a+1)x+2y-z=1,ay -2z=2 and (a+2)z=3 have only one solution then a=

The system of simulataneous equations kx + 2y -z = 1 (k -1) y -2z = 2 (k +2) z = 3 have a unique solution if k equals

The system of simulataneous equations kx + 2y -z = 1 (k -1) y -2z = 2 (k +2) z = 3 have a unique solution if k equals

if the system of equations x+y+z=0 , x+3y+k^2z=0 and x+2y+z=0 have a non zero solution then value of y+(x/z) is

If the system of equations kx + y + 2z = 1 3x-y-2z = 2 -2x-2y-4z = 3 has infinitely many solutions, then k is equal to ________.

Find k if the equations x+2y+2z=0, x-3y-3z=0, 2x+y+kz=0 have only the trivial solution.

System of linear equations in x,y,z 2x+y+z=1,x-2y+z=2,3x-y +2z=3 have infinite solutions which

For what value of 'K', the system of equations kx+y+z=1, x+ky+z=k" and "x+y+kz=K^(2) has no solution ?

The equations x+y-2z=0,2x-3y-z=0,x-5y+4z=k have non-zero solutions if k=