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Re: matrix manipulation

• To: mathgroup at smc.vnet.net
• Subject: [mg132412] Re: matrix manipulation
• From: Bob Hanlon <hanlonr357 at gmail.com>
• Date: Mon, 10 Mar 2014 04:40:33 -0400 (EDT)
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• References: <20140308074331.2B3106A1D@smc.vnet.net>

Table[Subscript[C, k, j][i], {k, 1, 6}, {j, 1,
   6}] /. (Subscript[C, k_, j_] /; k > j) -> Subscript[C, j, k]


SymmetricMatrixQ[%]


True



Bob Hanlon




2014-03-08 2:43 GMT-05:00 <dimanag78 at gmail.com>:

> Hello to all.
>
> I have the following 6x6 matrix
>
> Table[Subscript[C, k, j][i], {k, 1, 6}, {j, 1, 6}]
>
> I want this matrix to be symmetric, that is,
> Subscript[C, k, j][i] = Subscript[C, j, k][i] for j != k.
>
> In other words I want the matrix
>
> {{Subscript[C, 1, 1][i], Subscript[C, 1, 2][i], Subscript[C, 1, 3][i],
>    Subscript[C, 1, 4][i], Subscript[C, 1, 5][i],
>   Subscript[C, 1, 6][i]}, {Subscript[C, 1, 2][i],
>   Subscript[C, 2, 2][i], Subscript[C, 2, 3][i], Subscript[C, 2, 4][i],
>    Subscript[C, 2, 5][i],
>   Subscript[C, 2, 6][i]}, {Subscript[C, 1, 3][i],
>   Subscript[C, 2, 3][i], Subscript[C, 3, 3][i], Subscript[C, 3, 4][i],
>    Subscript[C, 3, 5][i],
>   Subscript[C, 3, 6][i]}, {Subscript[C, 1, 4][i],
>   Subscript[C, 2, 4][i], Subscript[C, 3, 4][i], Subscript[C, 4, 4][i],
>    Subscript[C, 4, 5][i],
>   Subscript[C, 4, 6][i]}, {Subscript[C, 1, 5][i],
>   Subscript[C, 2, 5][i], Subscript[C, 3, 5][i], Subscript[C, 4, 5][i],
>    Subscript[C, 5, 5][i],
>   Subscript[C, 5, 6][i]}, {Subscript[C, 1, 6][i],
>   Subscript[C, 2, 6][i], Subscript[C, 3, 6][i], Subscript[C, 4, 6][i],
>    Subscript[C, 5, 6][i], Subscript[C, 6, 6][i]}}
>
>
> Thank you very much, in advance, for yor help.
>
>

• References:
  • matrix manipulation
    • From: dimanag78@gmail.com