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Topic:
Unitary equivalence of real matrices
Replies:
1
Last Post:
Feb 26, 2013 11:13 AM




Re: Unitary equivalence of real matrices
Posted:
Feb 26, 2013 11:13 AM


On 26022013 15:19, José Carlos Santos wrote:
> Let A an B be two square matrices over the reals with the same size and > suppose that they are unitarily equivalent, that is, that there is an > unitary matrix U such that U.A.U^{1} = B. Does it follow that there is > an orthogonal real matrix M such that M.A.M^{1} = B?
Forget about it. The answer is "yes" and this is proved in Halmos' problem book in Linear Algebra.
Best regards,
Jose Carlos Santos



