x+2y-z=0
find an equation system for which these vectors is it solutions
(1,0,1)
(2,-1,0)
(0,-1,-2)
(1,1,3)
i tried:
i can guess (x+2y+0*z+t,0*x -y-z+t,x+0-2*z +3*t)=x(1,0,1) +y(2,-1,0) +z(0,-1,-2)+t(1,1,3)
but what i got is a big vector
how i get the equations?