2. Given an n x n matrix A with coefficients in R, we define ed by the series eA = I+Alg!, where I is the n x n identity matrix (1's down the diagonal and O's elsewhere). The series converges in an appropriate sense, a fact which for the time being you may simply take for granted. This series seems hopeless to compute, doesn't it? But it's not. (a) Compute e , where D is as in #1 above. (b) Compute ed, where A is as in #1 above