Linear algebra with applications (9th edition) chapter 6.8, problem 20me bookmark show all steps: on problem in some of the earlier exercises, we used matlab's eigshow command to look at geometric interpretations of the eigenvalues and eigenvectors of 2 x 2 matrices. the eigshow facility also has an svdshow mode that we can use to visualize the singular values and singular vectors of a nonsingular 2 x 2 matrix. before using the svdshow facility, we establish some basic relations between the right and left singular vectors. let a be a nonsingular 2 x 2 matrix with singular value decomposition a-usvt and singular values s1s11 and s2 22. explain why each of the following are true: (a) av- us b)av1-su and av2 s2u2 (c) v 1 and v2 are orthogonal unit vectors and the images av1 and av2 are also orthogonal. (d) iavill = s, and iavall = s2 step-by-step solution