One of my friends asked me this.. What does this represent? Some string?
A B C D A = > < > B < = < < C > > = > D < > < =
the only thing I have been able to get till now is C>A>D>B
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It represents a strict linear order on the set whose elements are A,B,C,D. A simple program can extract the order in "linear form" from such a matrix, e.g. by coding <,=,> as 1,0,-1 respectively, and A,B,C,D,... as 0,1,2,3,... respectively.
Here's the program from the link, applied to your question:
This produces the output
NB: The given matrix is interpreted such that the symbols in the first row