Let t: r3r be defined by t ,y, z) = (x, y, 0) and let t: r s:r r be defined by s(x, y) = (2x, 3y), be linean s:r r be transformations on the real vector spaces

Let T: R3R be defined by T ,y, z) = (x, y, 0) and Let T: R S:R R be defined by S(x, y) = (2x, 3y), be linean S:R R be 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.