Find values of `k` for which the system of equation `(3k - 8) x + 3y + 3z = 0 , 3x + (3k - 8) y + 3z = 0 , 3x + 3y + (3k - 8) z = 0` has a non trival solution

The value of a for which the system of equations , a^(3)x + (a + 1)^(3) y + (a + 2)^(3) z = 0 , ax + (a + 1) y + (a + 2) z = 0 & x+y+z=0 has a non - zero solution is :

The value of ‘k’ for which the set of equations 3x + ky – 2z = 0, x + ky + 3z = 0, 2x + 3y – 4z = 0 has a non – trivial solution over the set of rational is

Find the value of k for which the system of equations 3x + 5y = 0 , k x + 10 y = 0 has a nonzero solution.

Find the value of k for which the system of equations 2x + 3y=7 and 8x + (k +4)y -28 =0 has infinitely many solution.

For the system of equation 3x + y =1, x - 2y =5 and x-y + 3z +3 =0 , the value of z is

What should be the value of k so that the system of linear equations x - y + 2z = 0, kx - y + z = 0, 3x + y - 3z = 0 does not possess a unique solution ?

What should be the value of k so that the system of linear equations x - y + 2z = 0, kx - y + z = 0, 3x + y - 3z = 0 does not possess a unique solution ?

Find the value of k for which x=0,y=8 is a solution of 3x-6y=k .

the value of theta for which the system of equations (sin 3theta)x-2y+3z=0, (cos 2theta)x+8y-7z=0 and 2x+14y-11z=0 has a non - trivial solution, is (here, n in Z )