Answered: If A is a 3x3 matrix with eigenvalues 1…

If A is a 3x3 matrix with eigenvalues 1 and 2, which option is impossible for diagonal matrix D=P^{-1}AP? a. D=diag(1,2,2) b. D=diag(1,1,1) c. D=diag(1,1,2) d. D does not exist

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.5: Iterative Methods For Computing Eigenvalues

Problem 46EQ

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Question

If A is a 3x3 matrix with eigenvalues 1 and 2, which option is impossible for diagonal matrix D=P^{-1}AP?

a. D=diag(1,2,2)

b. D=diag(1,1,1)

c. D=diag(1,1,2)

d. D does not exist

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