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Name of a symmetric matrix with zeroes in the diagonal

I am looking for a term that can be used for a matrix with the diagonal line equal to zeros and the upper and lower triangles are symmetric.

for example if I have a matrix of size 5 by 5 the matrix will be as following:

0 1 2 3 4
1 0 5 6 7
2 5 0 8 9
3 6 8 0 10
4 7 9 10 0

Is there a term for this matrix?

Solution

  • Hollow symmetric matrix. Hollow means the main diagonal has all zeroes. Symmetric means the upper triangle and lower triangle are "equal."