Problem 3 (5 pts, 2 pts) When D is an m x n rectangular diagonal matrix, its pseudo-inverse D+ is an n x m rectangular diagonal matrix whose nonzero entries are the reciprocals 1/d of the diagonal entries of D. Thus, a matrix A having SVD A = VEV has A+ = VE UT = V.E, U.'. Working with just this definition, determine by hand the pseudo-inverse of (a) A = ry , where neither a nor y is 0 (b) A = xx, where a # 0. You may again wish to from a conjecture using computational experiments