Exercise 4.3

Write a MATLAB program (see Lecture 9) which, given a real 2 x 2 matrix A, plots the right singular vectors v1 and v2 in the unit circle and also the left singular vectors u 1 and  in the appropriate ellipse, as in Figure 4.1. Apply your program to the matrix (3.7) and also to the 2 x 2 matrices of Exercise 4.1.