(c) Let -[ A = 2 1 0 1 3 1 1 3 0 (i) Use the Gershgorin's circle theorem to determine the bounds of the eigenvalue of A. (ii) Use the power method to find the dominant eigenpair of A. (iii) Use the inverse power method to find the least dominant eigenvalue in magnitude and its corresponding eigenvector.
(c) Let -[ A = 2 1 0 1 3 1 1 3 0 (i) Use the Gershgorin's circle theorem to determine the bounds of the eigenvalue of A. (ii) Use the power method to find the dominant eigenpair of A. (iii) Use the inverse power method to find the least dominant eigenvalue in magnitude and its corresponding eigenvector.
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 12EQ: In Exercises 7-12, show that is an eigenvector of A and find one eigenvector corresponding to this...
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