3. Let T: R ot T: R R° be defined by 7 (X, y, z) = (x, y, 0) and S:R R2R be detined by S(, y) = (2x, 3y), be linear transformations on the real vector spaces R and R respectively. Then, which one of the following is respectively. correct (a) T and S are both singular. (b) T and S are both non-singular. Tis singular and S is non-singular (d) S is singular and T is non-singular.