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Re: Re: Re: Questions regarding MatrixExp, and its usage

  • To: mathgroup at smc.vnet.net
  • Subject: [mg63580] Re: [mg63390] Re: [mg63355] Re: [mg63335] Questions regarding MatrixExp, and its usage
  • From: "Michael Chang" <michael_chang86 at hotmail.com>
  • Date: Fri, 6 Jan 2006 05:24:23 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

<Snip>

>(By the way, I think your e-mail program should be able to render the  
>"funny symbol" correctly if it interprets the encoding of the message  as 
>Unicode.)

Thanks ... I haven't been able to figure out how to coax hotmail to change 
the encoding, but Outlook @ work seems to be able to decode things properly! 
  :)

>I think your mistake is that although A is a Jordan block 8 A is not.

Oh boy ... Duh!  <Blush>  You're right ... my mistake!  Sorry.

>So the right thing to do is this:
>
>
>A = {{0, 1, 0}, {0, 0, 1}, {0, 0, 0}};
>
>In[4]:=
>{S, B} = JordanDecomposition[8*A];
>
>
>f[x_] := Exp[x]
>
>
>S . p[f, 0, 3] . MatrixPower[S, -1]
>
>
>{{1, 8, 32}, {0, 1, 8}, {0, 0, 1}}
>
>This seems to be right.

Yes, this *is* correct!  My apologies for my confusion, and many thanks 
again!

Regards,

Michael



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