1. (Strang 7.1.6) Consider the matrix: A= = [21] 4 2 (a) Find the eigenvalues of A, AT A and AAP, and discuss how they a
Posted: Thu May 12, 2022 10:25 am
1. (Strang 7.1.6) Consider the matrix: A= = [21] 4 2 (a) Find the eigenvalues of A, AT A and AAP, and discuss how they are related. (b) Find two linearly independent eigenvectors of A, and show that they are not orthog- onal. (C) Find two linearly independent eigenvectors of AT A, and show that they are orthog- onal. (d) Write A as a product A= dūvt, where ū and ✓ have unit length.