Problem 3. Judit and Zsófia were working together to find the eigenvectors and eigenvalues of the system x-(0)-(3-5) 2 = so that they could write down a general solution. For the eigenvalue the eigenvector v = (57+5i). 1 = 3i, Judit found v = as the cor- responding eigenvector. Judit was dismayed when they checked with Zsófia, who found (for the same eigenvalue) . After consulting with Wolfram Alpha, they were further upset to find that it showed a different eigenvector from either of theirs: v= 4+3i 5 Explain as clearly as possible how it's possible that all of these answers are actually correct. Use math to defend your answer.
Problem 3. Judit and Zsófia were working together to find the eigenvectors and eigenvalues of the system x-(0)-(3-5) 2 = so that they could write down a general solution. For the eigenvalue the eigenvector v = (57+5i). 1 = 3i, Judit found v = as the cor- responding eigenvector. Judit was dismayed when they checked with Zsófia, who found (for the same eigenvalue) . After consulting with Wolfram Alpha, they were further upset to find that it showed a different eigenvector from either of theirs: v= 4+3i 5 Explain as clearly as possible how it's possible that all of these answers are actually correct. Use math to defend your answer.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 8BEXP
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