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Given a matrix and the two operations row swap and column swap, how to prove the possibility or impossibility of getting the transpose via a composition of these operations?

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@PatrickDaSilva Right, I agree. –  Marc van Leeuwen Feb 18 at 9:52

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up vote 4 down vote accepted

HINT: If $a$ and $b$ are in the same row of a matrix, can a row swap or a column swap put them into different rows of the new matrix?

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