=[1 1;4 5] Use four iterations of the power method starting with [1 1], to find an approximation to the dominant eigenvalue and a correspoinding approximate eigenvector. Work to 3 decimal places and estimate the eigenvalue using both the scale factor and the Rayleigh quotient Compare your answers with the exact eigenvalue, found by hand. Did the scale factor or the Rayleigh quotient
=[1 1;4 5] Use four iterations of the power method starting with [1 1], to find an approximation to the dominant eigenvalue and a correspoinding approximate eigenvector. Work to 3 decimal places and estimate the eigenvalue using both the scale factor and the Rayleigh quotient Compare your answers with the exact eigenvalue, found by hand. Did the scale factor or the Rayleigh quotient
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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Let A=[1 1;4 5]
Use four iterations of the power method starting with [1 1], to find an approximation to the dominant eigenvalue and a correspoinding approximate eigenvector. Work to 3 decimal places and estimate the eigenvalue using both the scale factor and the Rayleigh quotient
Compare your answers with the exact eigenvalue, found by hand. Did the scale factor or the Rayleigh quotient give the better value
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