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Question: Estimating Largest Eigenvalue Using Power Method

Question:Estimating Largest Eigenvalue Using Power Method

Sujaan Kunalan 80
linear-algebra
October 21 2013
0

Find the eigenvalues and eigenvecotrs for A=[2 0.37 0]

                                                                [0  1.1 -4.29]

                                                                [1.6 0 2.2].

 

Can you estimate the largest eigenvalue (in absolute value) using Power method for this problem? 

 

My code thus far:

restart;

with(LinearAlgebra):

with(linalg):

A:=matrix(3,3,[2,0.37,0,0,1.1,-4.29,1.6,0,2.2]);

eigenvects(A);

eigenvals(A);

 

So I've found the eigenvectors and eigenvalues. However, I do not know how to tell if I can estimate the largest eigenvalue in Power method? Any ideas? Thank you.
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