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MathGroup Archive 2005

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Re: Displaying Solution in Matrix Form

  • To: mathgroup at smc.vnet.net
  • Subject: [mg61361] Re: Displaying Solution in Matrix Form
  • From: "Steve Luttrell" <steve_usenet at _removemefirst_luttrell.org.uk>
  • Date: Mon, 17 Oct 2005 02:29:26 -0400 (EDT)
  • References: <diskq0$m9f$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

This does what you want (using a randomly generated example):

variables=Flatten[Table[f[i,j],{i,3},{j,4}]];
matrix=Table[Random[Real,{-1,1}],{12},{12}];
vector=Table[Random[Real,{-1,1}],{12}];
equations=MapThread[#1==#2&,{matrix.variables,vector}]
solution=NSolve[equations,variables]
Partition[variables,4]//TableForm
Partition[variables/.solution[[1]],4]//TableForm

The solution is in the form of a set of replacement rules for the variables. 
You use the variables /.solution construct to apply these rules to the 
variables, and then use Partition to split the vector of solutions into a 
matrix, which you then display using TableForm (you could use MatrixForm if 
you want brackets drawn round the table).

Steve Luttrell

"mathematica newbie" <sheeba.arnold at gmail.com> wrote in message 
news:diskq0$m9f$1 at smc.vnet.net...
> Hi,
>
> I have the 12 linear algebraic equations.
> The solutions are denoted by Fi, j's.
> F1,1 , F1,2, F1,3, F1,4,
> F2,1, F2,2  etc......through F3,4
>
> I have solved the equations with the NSolve command.
>
> How can I display this result as a 3x4 matrix, using the solution to
> assign values to the 12 Fi, j's.
>
> This must be done in a nested
> input that includes the function that solves the equations.
>
> I'm a mathematica newbie and any help with this is greatly appreciated.
> Thank you!
> 



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