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