For what values of `k ,` the following system of equations possesses a nontrival solution over the set of rationals:`c+k y+3z=0,3c+k y-2z=02c+3y-4x=0.` Also find the solution for this value of `kdot`

For what value of k, does the following system of equations possess a non-trivial solution over the set of rationals x+y-2z=0, 2x-3y+z=0 and x-5y+4z=k. Find all the solutions.

For what value of k the following system of equations has a unique solution 2x+3y-5=0, kx-6y-8=0?

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.

For what value of k the following system of simultaneous equation has a unique solution- 2kx+3y+3=04x+y+4=0

For what value of k the following system of linear equations wil have infinite solutions x-y+z=3, 2x+y-z=2 and -3x-2ky+6z=3

The values of k for which the system of equations kx+y+z=0,x-ky+z=0 and x+y+z=0 possesses non-trivial solution. Are

For what value of k, will the following system of equations have infinitely many solutions? 2x+3y=4,quad (k+2)x+6y=3k+2

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

The value of for which the system of equations ax +y+z=0,x+ay+z=0,x+y+z=0 possess a non-null solution is

The value of a for which the system of linear equations ax+y+z=0,ay+z=0,x+y+z=0 possesses non-trivial solution is