Timeline for Invertible matrices of natural numbers are permutations... why?
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| Apr 19, 2011 at 20:42 | comment | added | Gerhard Paseman | Slightly less general, AB a diagonal matrix and BA another diagonal matrix (and no negative coefficients, etc.) should give at most one element in each row and column of both A and B. Then invertibility gives exactly one and that they are permutation matrices comes from the coefficients being nonnegative integers. However, I am glad you wrote up the proof I was thinking. Gerhard "Ask Me About System Design" Paseman, 2011.04.19 | |
| Apr 19, 2011 at 8:14 | history | answered | Aaron Meyerowitz | CC BY-SA 3.0 |