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