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 b entered repeatedly with the same eigenspaces.) 866 1 9 99 0-1 0 8 1 1 1 0-3 - 1 1 1 la 9 99 0 1 0 801 -1 0-1 0 900 = 0 1 0 1 1 8 0 0 0 2₁ = has eigenspace span (smallest λ-value) 12= has eigenspace span 11 23 = has eigenspace span 1 (largest A-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 b entered repeatedly with the same eigenspaces.) 866 1 9 99 0-1 0 8 1 1 1 0-3 - 1 1 1 la 9 99 0 1 0 801 -1 0-1 0 900 = 0 1 0 1 1 8 0 0 0 2₁ = has eigenspace span (smallest λ-value) 12= has eigenspace span 11 23 = has eigenspace span 1 (largest A-value)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.1: Eigenvalues And Eigenvectors

Problem 65E

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