(a) Prove that every real 3 3 matrix has at least one real eigenvalue. (b) Find...

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(a) Prove that every real 3 × 3 matrix has at least one real eigenvalue.
(b) Find a real 4 × 4 matrix with no real eigenvalues.
(c) Can you find a real 5 × 5 matrix with no real eigenvalues?

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 09:06 AM

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(a) Prove that every real 3 3 matrix has at least one real eigenvalue. (b) Find...

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a The characteristic equation of a 3 3 matrix is a ...View the full answer

Applied Linear Algebra

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