Use the power method with scaling to approximate a dominant eigenvector of the matrix A. Start with xo = [0 1]T and complete three iterations. Then use x3 to approximate the dominant eigenvalue of: A = 5 Give your answers to 4 1 2 decimal places. X3 = Dominant Eigenvalue = | (this should be to 4 decimal places)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.5: Iterative Methods For Computing Eigenvalues
Problem 15EQ
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Use the power method with scaling to approximate a dominant eigenvector of the matrix A. Start with xo = [0 1]" and
6 5
Give your answers to 4
1 2.
complete three iterations. Then use x3 to approximate the dominant eigenvalue of: A =
decimal places.
X3 =
Dominant Eigenvalue
(this should be to 4 decimal places)
Transcribed Image Text:Use the power method with scaling to approximate a dominant eigenvector of the matrix A. Start with xo = [0 1]" and 6 5 Give your answers to 4 1 2. complete three iterations. Then use x3 to approximate the dominant eigenvalue of: A = decimal places. X3 = Dominant Eigenvalue (this should be to 4 decimal places)
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