What is the correct option of the four:

Let T: R^{3}→R^{4 }be a linear transformation such that T(v)=0 for all vƐ E. Where E= {(x,y,z) Ɛ R^{3}: 5x^{2}+ y^{2}+z^{2}/2 =3}

Then

A) dim(Image T) = 2

B) dim(Ker T) = 2

C) dim(Image T) = 3

D) dim(Ker T) = 3