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Timeline for minimum rank of a general matrix

Current License: CC BY-SA 3.0

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Feb 15, 2012 at 11:01 comment added David E Speyer I hope you won't find it rude if I ask where this problem came from? It perfectly well could be a lemma that came up somewhere, but it would also make a good exercise in an advanced linear algebra course. In the mean time, here is a hint: The anti-symmetrization of $A$ is $A - A^T$. What do you know about $\mathrm{rank}(A+B)$?
Feb 15, 2012 at 10:49 history asked lugica CC BY-SA 3.0