Let T: R² R³ be defined by T(r. y) = (3x+2y.x. -x+4y). (o) Show that T is a linear transformation. (bi Find the kernel of 1. (e) Is T one-to-one? Justify your answer. (d) Find the range of T. [2] [3] [2] (e) Is 7 onto? Justify your answer. (f) Find the matrix representation of T with respect to the standard bases. Let T: R² R³ be defined by T(r. y) = (3r+2y.x. -x + 4y). (0) Show that I is a linear transformation. (b) Find the kernel of I. [3] (e) Is T one-to-one? Justify your answer. [2] (d) Find the range. of T. [3] (e) Is 7 onto? Justify your answer. [2] (f) Find the matrix representatio.n of T with respect to the standard bases.