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Re: derivative of matrix in mathematica
*To*: mathgroup at smc.vnet.net
*Subject*: [mg120156] Re: derivative of matrix in mathematica
*From*: Heike Gramberg <heike.gramberg at gmail.com>
*Date*: Sun, 10 Jul 2011 05:01:51 -0400 (EDT)
*References*: <201107091132.HAA13492@smc.vnet.net>
You could do something like
n = 3;
matrix := Table[p[i, j][#], {i, 1, n}, {j, 1, n}] &
then matrix'[t] gives
{{Derivative[1][p[1, 1]][t], Derivative[1][p[1, 2]][t],
Derivative[1][p[1, 3]][t]}, {Derivative[1][p[2, 1]][t],
Derivative[1][p[2, 2]][t],
Derivative[1][p[2, 3]][t]}, {Derivative[1][p[3, 1]][t],
Derivative[1][p[3, 2]][t], Derivative[1][p[3, 3]][t]}}
To set each of the elements of this matrix equal to the elements of another matrix
you can do something like
MapThread[
SetDelayed, {matrix[t_], Table[Sin[i t] j, {i, 1, n}, {j, 1, n}]}, 2];
Heike
On 9 Jul 2011, at 12:32, yashar wrote:
> hi
> in mathematica
> how i can produce a general n by n matrix so that each of its elements be a variable of t???
> how i can take derivative of this matrix with respect to variable t?
> how i can with equating this n by n matrix with another n by n matrix which its elements are known obtain unknown elements of this general n by n matrix?
>
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