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MathGroup Archive 2003

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Re: operate a matrix of derivations

  • To: mathgroup at smc.vnet.net
  • Subject: [mg39222] Re: [mg39184] operate a matrix of derivations
  • From: BobHanlon at aol.com
  • Date: Tue, 4 Feb 2003 02:22:02 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

In a message dated 2/3/03 1:34:44 AM, iselig at techunix.technion.ac.il writes:


> 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
>
>
>


Inner[#1[#2]&,

   {{D[#, x]&, #*0&},{D[#, y]&, D[#, x]&}},

   {{x*y, x}, {x + y, 3}},

   Plus]


{{y, 1}, {1 + x, 0}}



or

Inner[D[#2,#1]&,

   {{x, Unique[]},{y, x}},

   {{x*y, x},{x + y, 3}},

   Plus]


{{y, 1}, {1 + x, 0}}



Bob Hanlon



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