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matrix manipulation

  • To: mathgroup at smc.vnet.net
  • Subject: [mg132396] matrix manipulation
  • From: dimanag78 at gmail.com
  • Date: Sat, 8 Mar 2014 02:43:31 -0500 (EST)
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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.



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