Question 2. Let T : R\" > Rm and F : R\" > R" be linear functions and assume that n > m. a) Explain why it is impossible that T is one-to-one. b) Let L = (F o T) : R\" > R\" : if v) F(T(;f:')) be the composition of T and F. Is it possible that the standard matrix of L is invertible? Explain your answer. Hint. What does part a) imply about the null space of T? The last part of this question concerns elementary matrices and invertibility. e) Let L : R2 ) R2 denote the linear function which maps 51 = [[1]] to [2;] and 5;; = [0] to [I]. Write the standard matrix A of L and its inverse A'1 as a product of elementary matrices