What do you call a_ji in relation to a_ij

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In summary, the conversation discusses the term for the symmetric counterpart of a matrix element, with the questioner mentioning their unsuccessful search for a term and the respondent suggesting using the corresponding element of the transposed matrix. They also mention the possibility of a shorter term, but note that the current terminology is commonly understood and not in need of change.
  • #1
Oerg
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Is there an accepted term for the symmetric counterpart of a matrix element? Tried searching the web but didn't really seem to find such a term mentioned anywhere.
 
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  • #2
You mean the corresponding element of the transposed matrix ?
(At least your title seem to point there - your actual question is very unspecific)
 
  • #3
Yes! But is there a shorter accepted term for "corresponding element of the transposed matrix "?
 
  • #4
I don't know of one -- and you have probably searched more efficiently than I have -- so perhaps the community hasn't found it worthwhile to give this goody a separate name ?
 
  • #5
Thanks for the help anyway. Just wanted to be sure there isn't a commonly use term for it.
 
  • #6
Usually if you write ##A_{ji} ## or ##(A^{\tau})_{ij} ## everybody knows what is meant. Shorter is neither necessary nor possible.
 

FAQ: What do you call a_ji in relation to a_ij

What do you call a_ji in relation to a_ij?

A_ji and a_ij refer to the same element in a matrix. The order of the indices does not affect the value of the element.

What is the significance of the subscript notation in a_ji and a_ij?

The subscript notation represents the position of the element in a matrix. In the case of a_ji, the first index (i) represents the row and the second index (j) represents the column. In a_ij, the first index (i) represents the column and the second index (j) represents the row.

Can a_ji and a_ij have different values?

No, a_ji and a_ij always refer to the same element in a matrix. Therefore, they will have the same value regardless of the order of the indices.

What is the difference between a_ji and a_jk?

A_ji and a_jk are two different elements in a matrix. The subscript notation represents different positions in the matrix, with the first index representing the row and the second index representing the column. Therefore, the values of a_ji and a_jk might differ.

How is the value of a_ji determined in a matrix?

The value of a_ji is determined by the position of the element in the matrix, with the first index representing the row and the second index representing the column. The value can be changed by altering the elements in the matrix or by performing mathematical operations on the matrix.

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