A diagonalization of the matrix A is given in the form P-¹AP = D. List the eigenvalues of A and bases for the corresponding eigenspaces. (Repeated eigenvalues should be entered repeatedly with thesame eigenspaces.)d₁==^₂ =13 =1007240181007/N +1018 1821412594 4 40 0 14 4 39 101 -1 18 0 -1has eigenspace spanhas eigenspace spanhas eigenspace=80 000 00 0 -1(LF)span(smallest λ-value)(largest λ-value)

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A diagonalization of the matrix A is given in the form P-¹AP = D. List the eigenvalues of A and bases for the corresponding eigenspaces. (Repeated eigenvalues should be entered repeatedly with the same eigenspaces.) A₁ = d₂ = 23 = 181249 1 18 1 2 4 1 18 1 2 5 9 4 4 4 0 0 1 443 9 1 0 1 -1 1 8 0-1 has eigenspace span has eigenspace span = has eigenspace span ↓ 1 (LF) 80 0 00 0 00-1 (smallest λ-value) (largest λ-value)

A diagonalization of the matrix A is given in the form P-¹AP = D. List the eigenvalues of A and bases for the corresponding eigenspaces. (Repeated eigenvalues should be entered repeatedly with the same eigenspaces.) A₁ = d₂ = 23 = 181249 1 18 1 2 4 1 18 1 2 5 9 4 4 4 0 0 1 443 9 1 0 1 -1 1 8 0-1 has eigenspace span has eigenspace span = has eigenspace span ↓ 1 (LF) 80 0 00 0 00-1 (smallest λ-value) (largest λ-value)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.1: Introduction To Eigenvalues And Eigenvectors

Problem 38EQ

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