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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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.
Transcribed Image Text: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.
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