Solve the following system of homogeneous linear equations by matrix method: `x+y-6z=0,\ \ x-y+2z=0,\ \ -3x+y+2z=0`

Solve the following system of homogeneous linear equations by matrix method: 3x+y-2z=0,\ \ x+y+z=0,\ \ x-2y+z=0

Solve the following system of homogeneous linear equations by matrix method: x+y+z=0,\ \ x-y-5z=0,\ \ x+2y+4z=0

Solve the following system of homogeneous linear equations by matrix method: 2x-y+z=0,\ \ 3x+2y-z=0,\ \ x+4y+3z=0

Solve the following system of homogeneous linear equations by matrix method: 2x-y+2z=0,\ \ 5x+3y-z=0,\ \ x+5y-5z=0

Solve the following system of linear equations by matrix method: x+y+z=3,2x-y+z=2,x-2y=3z=2

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

Solve following system of homogeneous linear equations: 2x+3y+4z=0,\ \ x+y+z=0,\ \ 2x+5y-2z=0

Solve the following system of homogenous linear equations : 2x+3y+4z=0 , x+y+z=0 , 2x-y+3z=0

Solve the following system of linear equations by matrix method: 2x+3y+3z=1,2x+2y+3z=2,x-2y+2z=3

Express the following system of simultaneous linear equation as a matrix equation: 2x+3y-z=1,\ \ x+y+2z=2,\ \ 2x-y+z=3