Problem 1. For this problem, let A := |0 1 0 2 1 2 O WeightedOrderAlg.java - Notepad File Edit Format View Help Ln 39. Col 1 100% Windows (CRLF) UTF-8 (h) For a generic matrix A whose eigenvectors satisfy the criterion you came up with in part (f) of this problem, use the fact that A = PDP-1 to rewrite an expression for A3 in terms of P and D. (A sufficient answer would be an equation where A³ is the left-hand side, and the right-hand side is some expression involving P and D.) (i) If B is a generic diagonal matrix, what is a shortcut for finding B*, where k e N? Why does it work? (j) For the specific matrix A for this problem, use the P and D you found in the previous parts of this problem

Problem 1. For this problem, let A := |0 1 0 2 1 2 O WeightedOrderAlg.java - Notepad File Edit Format View Help Ln 39. Col 1 100% Windows (CRLF) UTF-8 (h) For a generic matrix A whose eigenvectors satisfy the criterion you came up with in part (f) of this problem, use the fact that A = PDP-1 to rewrite an expression for A3 in terms of P and D. (A sufficient answer would be an equation where A³ is the left-hand side, and the right-hand side is some expression involving P and D.) (i) If B is a generic diagonal matrix, what is a shortcut for finding B*, where k e N? Why does it work? (j) For the specific matrix A for this problem, use the P and D you found in the previous parts of this problem

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices

Problem 29EQ

See similar textbooks