If the trivial solution is the only solution of the system of equations `x-ky + z = 0, kx + 3y-kz=0, 3x + y-z = 0` Then the set of all values of `k` is:

If the system of equations x-ky-z=0 , kx-y-z=0 , x+y-z=0 has a non-zero solution , then possible values of k are :

Find the solution of homogeneous system of equations: x-2y+z=0;x+y=z and 3x+6y=5z

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 x – ky – z = 0, kx – y – z=0, x + y – z = 0 has a non -zero solution then the possible values of k are

The system of equations 6x+5y+ lamda z= 0, 3z-y+4z= 0, x+2y-3z=0 has non-trivial solutions for

If the system of equations x+y+z=0 ax+by+z=0 bx+y+z=0 has a non trivial solution then

For what value of K do the following system of equations possess a non trivial (i.e. not all zero) solution over the set of rationals Q ? x + K y + 3 z = 0 , 3 x + K y - 2 z = 0 , 2 x + 3 y - 4 z = 0 . For that value of K , find all the solutions of the system.

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