Re: trigonalisable matrix question
- From: José Carlos Santos <jcsantos@xxxxxxxx>
- Date: Sun, 09 Apr 2006 14:32:20 +0100
eugene wrote:
A have the following question: Is it true that in M_n(R) not every matrix is
trigonalisable.
Of course it's true, since trigonalisable => it has some eigenvalue.
Indeed, given a field F, F is algebraically closed iff for each natural
number _n_, every matrix of M_n(F) is trigonalisable.
Best regards,
Jose Carlos Santos
.
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