Problem 7 (20 points) Full credit will be given for the correct answer without justication, and partial credit for a wrong answer with steps shown. i) Compute the singular values of A = [2 0 1] 102' ii) Let A be a 2 x 2 matrix with singular values 2 and 4. Let T(:E") 2 Ai'. Let C be a circle of radius 2, then E : T(C) is an ellipse. Find the semi-major axis and semi-minor axis of E. (The semi-major axis is the largest distance from the center of the ellipse to a point on the ellipse. The semi-minor axis is the shortest distance.)