.Find the eigenvalues and normalized eigenvectors of the following matrix. Note: You won't be able to find the eigenvalues directly, since this will lead to a cubic equation. Find a cubic equation solver on the net to get the eigenvalues. Then use those to construct the normalized eigenvectors. 7 4 4 4 7 4 4 4 7

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 37EQ
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. Find the eigenvalues and normalized eigenvectors of the following matrix. Note: You won't be able to find the
eigenvalues directly, since this will lead to a cubic equation. Find a cubic equation solver on the net to get the
eigenvalues. Then use those to construct the normalized eigenvectors.
7 4 4
4 7 4
4 4 7
Transcribed Image Text:. Find the eigenvalues and normalized eigenvectors of the following matrix. Note: You won't be able to find the eigenvalues directly, since this will lead to a cubic equation. Find a cubic equation solver on the net to get the eigenvalues. Then use those to construct the normalized eigenvectors. 7 4 4 4 7 4 4 4 7
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