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14. Find the rank and all four eigenvalues for both the matrix of ones and the checker- board matrix: 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 A = and C = 1 1 1 0 1 0 1 1 1 1 0 1 0 Which eigenvectors correspond to nonzero eigenvalues?

14. Find the rank and all four eigenvalues for both the matrix of ones and the checker- board matrix: 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 A = and C = 1 1 1 0 1 0 1 1 1 1 0 1 0 Which eigenvectors correspond to nonzero eigenvalues?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section: Chapter Questions
Problem 8RQ
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14. Find the rank and all four eigenvalues for both the matrix of ones and the checker- board matrix: 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 A = and C = 1 1 1 0 1 0 1 1 1 1 0 1 0 Which eigenvectors correspond to nonzero eigenvalues?
Transcribed Image Text:14. Find the rank and all four eigenvalues for both the matrix of ones and the checker- board matrix: 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 A = and C = 1 1 1 0 1 0 1 1 1 1 0 1 0 Which eigenvectors correspond to nonzero eigenvalues?
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