The value of `lambda` for which the system of equations `2x-y-z=12,x-2y +z = -4, x+y+z=4` has no solution is

The value of lambda for which the system of equations 2x-y-2z=2,x-2y +z = -4, x+y+lamda z=4 has no solution is

The value of lamda for which the system of equations : x+y+z=6,x+2y=3z=10,x+4y+lamdaz=12 has a unique solution is :

The value of lambda such that the system of equations x-2y+z=-4,2x-y+2z=2 and x+y+ lambda z=4, has no solution is

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

The system of equations x+y+z=6, x+2y+3z=14, x+4y=7z=30 has

The value of a such that the system of equations x-2y+z=-4, 2x – y +2z = 2 and x+y+az = 4, has no solution , is a) 0 b)1 c)3 d)-1

The system of equations : x+y+z =6 x+2 y+3 z =10 x+2 y+lambda z =mu has no solution for

The values of k in R for which the system of equations x+ky+3z=0 , kx+2y +2z =0 ,2x+3y+4z=0 has nontrivial solution are

The value of lambda and mu for which the system of linear equation x+y+z=2 x+2y+3z=5 x+3y+lambda z= mu has infinitely many solutions are , respectively :