I know that the rank of a skew-symmetric matrix is even. I just need to find a published proof for it. Could anyone direct me to a source that could help me?
The rank of skew-symmetric matrix is even
5
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linear-algebra
matrices
reference-request
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5http://books.google.com/books?id=cyX32q8ZP5cC&lpg=PA12&dq=rank%20of%20skew-symmetric%20matrix&pg=PA12#v=onepage&q=rank%20of%20skew-symmetric%20matrix&f=false This looks like what you want. (This took ten seconds' googling...!) – 2011-08-15
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2Another source is [Chapter XV, Section 8](http://books.google.com/books?id=Fge-BwqhqIYC&lpg=PP1&dq=lang%20algebra&pg=PA586#v=onepage&q&f=false) of Lang's _Algebra_. – 2011-08-15
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0Maybe this https://math.stackexchange.com/questions/1555045/show-that-rank-of-skew-symetric-is-even-number – 2017-07-04