Answered: 11 A = 12 -8 -9 PDP-'. Find an…

11 A = 12 -8 -9 PDP-'. Find an invertible matrix P and a diagonal matrix D so that A = Use your answer to find an expression for A³ in terms of P, a power of D, and P-! in that order.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CR: Review Exercises

Problem 66CR

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Solve on the paper onlys

A- "
11
-8
12
Find an invertible matrix P and a diagonal matrix D so that A =
Use your answer to find an expression for A³ in terms of P, a power of D, and P- in that order.
PDP.
45
II

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