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1. Using [0 -1 1] as an initial eigenvector, do 3 iterations of the Power Method to estimate the dominant eigenvalue and its associated eigenvector, of the matrix A given by 3 1 A = 2-6 0 1 2 5 -3 Use fractions throughout your calculations for the eigenvalue and eigenvector estimates. As part of your answer, include the approximate percent relative error associated with the dominant eigenvalue at each iteration.

1. Using [0 -1 1] as an initial eigenvector, do 3 iterations of the Power Method to estimate the dominant eigenvalue and its associated eigenvector, of the matrix A given by 3 1 A = 2-6 0 1 2 5 -3 Use fractions throughout your calculations for the eigenvalue and eigenvector estimates. As part of your answer, include the approximate percent relative error associated with the dominant eigenvalue at each iteration.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Using [0 -1 1] as an initial eigenvector, do 3 iterations of the Power Method to estimate the dominant eigenvalue and its associated eigenvector, of the matrix A given by 3 1 A = 2-6 0 1 2 5 -3 Use fractions throughout your calculations for the eigenvalue and eigenvector estimates. As part of your answer, include the approximate percent relative error associated with the dominant eigenvalue at each iteration.
Transcribed Image Text:1. Using [0 -1 1] as an initial eigenvector, do 3 iterations of the Power Method to estimate the dominant eigenvalue and its associated eigenvector, of the matrix A given by 3 1 A = 2-6 0 1 2 5 -3 Use fractions throughout your calculations for the eigenvalue and eigenvector estimates. As part of your answer, include the approximate percent relative error associated with the dominant eigenvalue at each iteration.
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