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

Find the real values of k for which the following system of linear equtions has non -trivial solution: x-ky-z=0,kx-y-z=0,x+y-z=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 real values of K for which the following system of linear equations has no-trivial solution: x - ky - z = 0, kx - y - z = 0, x + y-z = 0

Find the values of k for which the following system of equations has non-trivial solution. : 2x+3y-2z=0, 2x-y+3z=0, 7x+ky-z=0

Find the value of k for which the following system of linear equations has no solution. Kx+3y=k-3 , 12x+ky=k .

Find the real values of lambda for which the following system of linear equations has non -trivial solutions: x+y-3z=0,( 1+lambda)x+(2+lambda)y-8z=0 , x-(1+lambda)y+(2+lambda)z=0 .

Find the real values of r for which the following system of linear equations has a non-trivial solu- tions. Also find the non-trivial solutions 2rx – 2y + 3z = 0 x + r y + 2z = 0 2x + r z = 0

Find the real values of lambda for which the following system of linear equations has non-trivial solutions. Also, find the non-trivial solutions. 2lambdax-2y+3z=0 x+lambday+2z=0 2x+lambdaz=0

Find the real values of lambda for which the following system of linear equations has non-trivial solutions. Also, find the non-trivial solutions. 2lambdax-2y+3z=0 x+lambday+2z=0 2x+lambdaz=0

Find the real values of lambda for which the following system of linear equations has non- trivial solutions.Also,find the non-trivial solutions.2 lambda x-2y+3z=0x+lambda y+2z=02x+lambda z=0