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(a) If the eigenvalues of the n x n matrix A are λ > λ > 13 ...λ = 0 show that the eigenvalue λ,, can be found by applying the power method to the matrix k/-A, where is the identity matrix and k> 2₁.

(a) If the eigenvalues of the n x n matrix A are λ > λ > 13 ...λ = 0 show that the eigenvalue λ,, can be found by applying the power method to the matrix k/-A, where is the identity matrix and k> 2₁.

Elementary Linear Algebra (MindTap Course List)
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 15CR: For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of...
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1.5.3 (a) If the eigenvalues of the n x n matrix A are λ > λ > 13... λ = 0 show that the eigenvalue λ, can be found by applying the power method to the matrix kl - A, where is the identity matrix and k > 2₁.
Transcribed Image Text:1.5.3 (a) If the eigenvalues of the n x n matrix A are λ > λ > 13... λ = 0 show that the eigenvalue λ, can be found by applying the power method to the matrix kl - A, where is the identity matrix and k > 2₁.
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