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Dec 20, 2012 at 17:53 history edited Steven Landsburg CC BY-SA 3.0
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Dec 20, 2012 at 17:51 comment added Steven Landsburg Terry Tao: I did check this before posting, but obviously I got it wrong (as your remark about the trace makes clear). Thanks for the correction.
Dec 20, 2012 at 16:57 comment added Terry Tao Are you sure about the solvability of this system? It seems to me that $AA'+BB'$ and $A'A+B'B$ necessarily have the same trace, for instance (and are necessarily positive semidefinite, too).
Dec 20, 2012 at 15:37 history answered Steven Landsburg CC BY-SA 3.0