6) Let L and L be affine subspaces of R3, where L=U and L=(2,0,1)+U, for some vector subspaces U and U of R3. Let a basis for U be given by 1 po {(2,0,1),(1,1,0),(0,1,0)} and a basis for U be given by {(1,0,1),(0,1,1)}. Suppose there is a linear transformation T:UU such that (0,1,0)ker(T),T(2,0,1)= (0,1,1) and T(1,1,0)=(1,0,1). An affine mapping f:LL is obtained by defining f(u)=(2,0,1)+T(u), for all uU. Which of the following options are true? L={(x,y,z)xy2z=0}L=R3L={(x,y,z)x+yz=1}L=R3f(x,y,z)=(x2z+2,z,xz+1)f(x,y,z)=(x2z+2,2x,xz+1)f(x,y,z)=(x2z,z,xz)