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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