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Jul 19, 2014 at 1:53 comment added Hugo Chapdelaine Thanks, now I think I see how to prove it. The point is that multiplication on the left or the right by an invertible matrix with coefficients is Z preserves the determinant of the $k\times k$ minors.
Jul 19, 2014 at 1:51 vote accept Hugo Chapdelaine
Jul 19, 2014 at 0:52 history answered Richard Stanley CC BY-SA 3.0