m d) Let A be a m x n matrix with real number entries. By considering the linear map TA : R" R" given by TA(x) = Ax, prove that i) if n < m then there is no matrix B such that AB = Im, and ii) if m < n then there is no matrix B such that BA In. 2 e) Let A : -4 -2 Find a matrix B whose entries are real numbers such that AB = I3, justifying your answer. -9 -2 2