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

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

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

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, 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 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

Find the real values of K for which the following system of linear equations has non-trival solutions: x-ky+z = 0, kx + 3y - kz = 0, 3x + y-z = 0

Find the value of k for which the following system of equations has a unique solution: 4x-5y=k ,\ \ \ \ 2x-3y=12

Find the value of k for which the following system of equations has a unique solution: x+2y=3,\ \ \ \ 5x+k y+7=0