Let A Rx3 and suppose that 3 = (v, U2, U3) is an ordered basis for R consisting of eigenvectors for A. So Av = A1v, Av2 = 22, and Av3 = A3V3 for some scalars A, A2, A3 R. (a) The above equations can be written concisely using matrix notation as AQ = QA. What are the entries of Q and A? What special property does A have? (b) We can multiply both sides of the above equation on the right by Q- to obtain A = QAQ-. This factorization of A makes it easy to perform many calculations involving A. What is A2? What is A100?