What is the correct option of the four:

Let T: R3→R4 be a linear transformation such that T(v)=0 for all vƐ E. Where E= {(x,y,z) Ɛ R3 : 5x2 + y2 +z2/2 =3}

Then

A) dim(Image T) = 2

B) dim(Ker T) = 2

C) dim(Image T) = 3

D) dim(Ker T) = 3