# Is there a word for 'opposite symmetry'?Watch

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#1
For example, if i have a matrix such as:

which is oppositely symmetrical along the leading diagonal, i.e. for a matrix with entries a[i,j] for row i and column j:
a[x,y] =

Is there a technical name for this?

Any info much appreciated!
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5 years ago
#2
(Original post by Lewk)
...
I don't see any symmetry in the entries of that matrix. The only symmetrical matrix I've come across is the one below where the leading diagonal acts as a line of symmetry. As a result, it'll be equal to it's transpose so long as the original matrix is a square matrix with the same dimensions (n x n for instance):

What do you mean by 'oppositely symmetrical'?
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#3
(Original post by Khallil)
I don't see any symmetry in the entries of that matrix. The only symmetrical matrix I've come across is the one below where the leading diagonal acts as a line of symmetry. As a result, it'll be equal to it's transpose so long as the original matrix is a square matrix with the same dimensions (n x n for instance):

What do you mean by 'oppositely symmetrical'?
sorry, i should've specified that the entries in the matrix i am looking at are either 1 or 0. The entries on either side of the diagonal are opposite, hence why i say 'oppositely symmetric'.
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5 years ago
#4
Not that I'm aware of, no. I'm also not aware of anywhere this property is interesting. Where has it come up?
0
5 years ago
#5
contrantiasymmetry
0
5 years ago
#6
0
5 years ago
#7
(Original post by Lewk)
For example, if i have a matrix such as:

which is oppositely symmetrical along the leading diagonal, i.e. for a matrix with entries a[i,j] for row i and column j:
a[x,y] =

Is there a technical name for this?

Any info much appreciated!
I saw algebra and nearly self-combusted.
0
5 years ago
#8
(Original post by XxSophie01xX)
I saw algebra and nearly self-combusted.
Thousands of teenage girls die like this every year.

Help to end oppression and violence against women by signing an e-petition calling for Michael Gove to remove algebra from the school curriculum NOW!
1
#9
(Original post by BlueSam3)
Not that I'm aware of, no. I'm also not aware of anywhere this property is interesting. Where has it come up?
It's an adjacency matrix for a special type of digraph called a tournament, and it has this 'opposite symmetry' characteristic along the leading diagonal. I was just wondering if i could give a fancy technical term to it in my coursework.
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