Is it possible that two distinct (0,1)-matrices, otherwise binary matrices, have same rowsum vector and same columnsum vector?
If so, which is smallest possible example?
Is it possible that two distinct (0,1)-matrices, otherwise binary matrices, have same rowsum vector and same columnsum vector?
If so, which is smallest possible example?
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Take any pair of distinct permutation matrices of any dimension, the smallest being $2x2$.