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Suppose that a 5 x 5 matrix over C has no eigenvectors. What are the possible structures for its Jordan form up to ordering of blocks? Select one: O 51-blocks or 3 1-blocks and a 2-block or 2 1-blocks and a 3-block or a 1-block and a 4-block or just 1 5-block O There is not enough information to determine this as it depends on the entries of the matrix O None of the others apply O No Jordan blocks because there are no eigenvectors and one needs at least one eigenvalue to construct a Jordan block either a 5-block or one 2-block and one 3-block

Suppose that a 5 x 5 matrix over C has no eigenvectors. What are the possible structures for its Jordan form up to ordering of blocks? Select one: O 51-blocks or 3 1-blocks and a 2-block or 2 1-blocks and a 3-block or a 1-block and a 4-block or just 1 5-block O There is not enough information to determine this as it depends on the entries of the matrix O None of the others apply O No Jordan blocks because there are no eigenvectors and one needs at least one eigenvalue to construct a Jordan block either a 5-block or one 2-block and one 3-block

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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Suppose that a 5 x 5 matrix over C has no eigenvectors. What are the possible structures for its Jordan form up to ordering of blocks? Select one: O 51-blocks or 3 1-blocks and a 2-block or 2 1-blocks and a 3-block or a 1-block and a 4-block or just 1 5-block O There is not enough information to determine this as it depends on the entries of the matrix O None of the others apply O No Jordan blocks because there are no eigenvectors and one needs at least one eigenvalue to construct a Jordan block either a 5-block or one 2-block and one 3-block
Transcribed Image Text:Suppose that a 5 x 5 matrix over C has no eigenvectors. What are the possible structures for its Jordan form up to ordering of blocks? Select one: O 51-blocks or 3 1-blocks and a 2-block or 2 1-blocks and a 3-block or a 1-block and a 4-block or just 1 5-block O There is not enough information to determine this as it depends on the entries of the matrix O None of the others apply O No Jordan blocks because there are no eigenvectors and one needs at least one eigenvalue to construct a Jordan block either a 5-block or one 2-block and one 3-block
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