Suppose a 3 x 3 matrix A admits a factorization as A = PDP - , where
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Suppose a 3 x 3 matrix A admits a factorization as A = PDP-¹, where P is some invertible 3 x 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.
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1 0 If A PDP where P is an invertible 33 matrix and D is the diagonal ma...View the full answer
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Related Book For 
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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