Prove that A = AT has a repeated eigenvalue if and only if it commutes, AJ =

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Prove that A = AT has a repeated eigenvalue if and only if it commutes, AJ = JA, with a nonzero skew-symmetric matrix: JT = - J ≠ 0.

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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 09:08 AM

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Prove that A = AT has a repeated eigenvalue if and only if it commutes, AJ =

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If diag 1 n then the i j entry of M is d i m ij whereas the ...View the full answer

Applied Linear Algebra

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