20 -9 A = 42 -19 Find an invertible matrix P and a diagonal matrix D so that A = PDP-1. Use your answer to find an expression for A5 in terms of P, a power of D, and P-1 in that order. A5 =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 6E
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20 -9
A =
42
-19
Find an invertible matrix P and a diagonal matrix D so that A = PDP-1. Use your answer to find an expression for A5 in terms of P, a power of D, and P-1 in that order.
A5 =
Transcribed Image Text:20 -9 A = 42 -19 Find an invertible matrix P and a diagonal matrix D so that A = PDP-1. Use your answer to find an expression for A5 in terms of P, a power of D, and P-1 in that order. A5 =
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