" 9.The system of equations "2x+6y+11=0,6y-18z+1=0,6x+20y-6z+3=0quad " are "

The system of equation 2x+6y+11=0,6y-18z+1=0,6x+20y-6z+3=0

Show that the homogenous system of equations x - 2y + z = 0, x + y - z = 0, 3 x + 6y - 5z = 0 has a non-trivial solution. Also find the solution

Solve the system of homogenous equations x+y-z=0,3x+6y-5z=0, x-2y+z=0

If the system of equations x+2y+3z=13, 3x+y+2z=12, 2x+3y+6z=0 has

Solve the system of homogenous equations x+y-z=0,x-2y+z=0,3x+6y-5z=0 .

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

Solve the following- system of equations, 2x + 5y + 6z = 0, x - 3y + 8z = 0, 3x + y - 4z = 0

Show that the homogenous system of equations x-2y+z = 0 x+y-z = 0 3x+6y-5z = 0 has a non-trival solution.Also find the solution.