Re: commutator

On 2009-10-13, leiko <leikomatsuki@xxxxxxxxx> wrote:
On Oct 12, 9:52 pm, Arturo Magidin <magi...@xxxxxxxxxxxxxx> wrote:
On Oct 12, 7:38 pm, leiko <leikomats...@xxxxxxxxx> wrote:

If M and N are matrices over a field of char 0, and M(MN-NM)=(MN-NM)M,
why is the commutator (MN-NM) nilpotent?

Thanks a lot!

Have you considered pestering people to do your homework by sending
them repeated private e-mails instead of "just" posting the same thing
over and over in the newsgroup? Maybe if you increase the anoyance you
may succeed in increasing your response ratio...

Seems like something that will be achieved through clever
manipulation; the obvious one didn't work for me, though, which is why
I dind't reply. You see: when people have nothing to say, they say
nothing.


I don't understand why you have to be so mean about it. I just assume
that in a group full of spam like this one messages get over looked
very easily and it would not be a bad idea to post a message a few
times if I want people to see it. I've thinking about the problem a
lot, and I've asked people and no one seems to know and it's really
intriguing me.
I was very sad to see how mean your response was.

Well, maybe you could have avoided this unpleasantness by explaining
what you tried, and what didn't work. For instance, did you try to
prove this for 2x2 matrices?


--
Maarten Bergvelt
.

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