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The theorem by Frobenius is not stated clearly in the text. Moreover, I presume this needs additional hypotheses: what if one of the matrix does not admit an eigenbasis (see [[Jordan form]])?--Fph 09:51, 3 March 2010 (UTC) <small><span class="autosigned">—Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[User:Fph|Fph]] ([[User talk:Fph|talk]] • [[Special:Contributions/Fph|contribs]]) </span></small><!-- Template:Unsigned --> <!--Autosigned by SineBot-->
== Unitarily triangulizable? ==
The article currently says commuting complex matrices are unitarily simultaneously triangularizable. This is nonsense since general complex matrices are not unitarily triangularizable in the first place (and they always commute with themselves). I'm removing this silly sentence.
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