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MathGroup Archive 2003

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Re: perate matrix of derivations

  • To: mathgroup at
  • Subject: [mg39500] Re: perate matrix of derivations
  • From: jf.alcover at (jf alcover)
  • Date: Thu, 20 Feb 2003 05:13:29 -0500 (EST)
  • References: <b1l10v$i52$>
  • Sender: owner-wri-mathgroup at

iselig at (ilan) wrote in message news:<b1l10v$i52$1 at>...
> I want to make a matrix of derivations, so I will be able to multiply
> it by a matrix of functions and get the result matrix
> simple example:
> |d/dx   0 | |xy  x| |y   1|
> |         |.|     |=|     |
> |d/dy d/dx| |x+y 3| |x+1 0|
>  thank you

Maybe the following solution could help :

In[1]:= dermat[der_?MatrixQ, mat_?MatrixQ] := Inner[#1[#2]&,der,mat];

In[2]:= dermat[{{D[#,x]&,0&},{D[#,y]&,D[#,x]&}},{{x y,x},{x+y,3}}]

Out[2]= {{y,1},{1+x,0}}

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