most recent 30 from http://mathoverflow.net 2013-05-21T05:34:23Z http://mathoverflow.net/feeds/question/21544 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/21544/a-square-matrix-is-congruent-to-its-transpose zhaoliang 2010-04-16T07:41:41Z 2010-04-16T07:41:41Z

<p>we know a square matrix is similar to its transpose, this result holds true over any field. for they have the same "invariant factors".</p> <p>Similarly, it has been proven that a square matrix is congruent to its transpose too. but the known proof of this result needs highly convoluted math. I wonder whether there is also something invariant under congruence or not. And with this we can give an elementary proof of this result.</p> <p>for a proof of "A square matrix is congruent to its transpose"</p> <p>see <a href="http://arxiv.org/abs/0709.2489" rel="nofollow">link text</a></p>