Exercises 22–26 provide a glimpse of some
Chapter 2, Problem 26E(choose chapter or problem)
Problem 26E
Exercises 22–26 provide a glimpse of some widely used matrix factorizations, some of which are discussed later in the text.
(Spectral Factorization) Suppose a 3 × 3 matrix A admits a factorization as A = PDP –1, where P is some invertible 3 × 3 matrix and D is the diagonal matrix
Show that this factorization is useful when computing high powers of A. Find fairly simple formulas for A2, A3, and Ak (k a positive integer), using P and the entries in D.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer