Revision as of 19:37, 21 April 2025 by Bot (Created page with "<div class="d-none"><math> \newcommand{\mathds}{\mathbb}</math></div> {{Alert-warning|This article was automatically generated from a tex file and may contain conversion errors. If permitted, you may login and edit this article to improve the conversion. }}Prove that for the usual matrices <math>A,B\in M_N(\mathbb C)</math> we have <math display="block"> \sigma^+(AB)=\sigma^+(BA) </math> where <math>\sigma^+</math> denotes the set of eigenvalues, taken with multipli...")
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Apr 21'25
Exercise
[math]
\newcommand{\mathds}{\mathbb}[/math]
This article was automatically generated from a tex file and may contain conversion errors. If permitted, you may login and edit this article to improve the conversion.
Prove that for the usual matrices [math]A,B\in M_N(\mathbb C)[/math] we have
[[math]]
\sigma^+(AB)=\sigma^+(BA)
[[/math]]
where [math]\sigma^+[/math] denotes the set of eigenvalues, taken with multiplicities.