Timeline for A sum-of-determinants identity [closed]
Current License: CC BY-SA 3.0
14 events
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| Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
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| Dec 11, 2014 at 13:27 | history | closed |
Ryan Budney Stefan Waldmann Ian Morris Stefan Kohl♦ Willie Wong |
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| Dec 11, 2014 at 3:36 | comment | added | Deane Yang | It's disappointing that you didn't get a quick answer on math.stackexchange.com. | |
| Dec 11, 2014 at 3:11 | review | Close votes | |||
| Dec 11, 2014 at 13:27 | |||||
| Dec 11, 2014 at 3:02 | history | edited | Michael Hardy | CC BY-SA 3.0 |
added 192 characters in body
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| Dec 11, 2014 at 2:52 | comment | added | Terry Tao | You are computing the determinant of a matrix $[X_1,\dots,X_n]$ updated by a rank one matrix $X_n (-1,\dots,-1)$, and the matrix determinant lemma followed by Cramer's rule gives the claim. en.wikipedia.org/wiki/Matrix_determinant_lemma en.wikipedia.org/wiki/Cramer%27s_rule | |
| Dec 10, 2014 at 20:32 | answer | added | Mike Jury | timeline score: 2 | |
| Dec 10, 2014 at 20:03 | answer | added | Jeff Strom | timeline score: 2 | |
| Dec 10, 2014 at 19:55 | comment | added | Michael Hardy | $\ldots$ and lots of trivially-provable-even-if-nontrivially-consequential identities are named after someone who lived usually before 1800 (but I think maybe determinants were not widely known until some time after that?) so we still have the question of whether this might be one of those, or whether it is only "trivially consequential" and so not worth doing that for. | |
| Dec 10, 2014 at 19:50 | comment | added | Michael Hardy | $\ldots$ which just goes to show that algebra is efficacious; I should have shifted mental gears and thought of using it $\ldots$ | |
| Dec 10, 2014 at 19:49 | comment | added | Michael Hardy | @RichardStanley : Could be --- I was thinking about geometry, not algebra. | |
| Dec 10, 2014 at 19:48 | comment | added | Richard Stanley | Doesn't this follow easily from the multilinearity of the determinant? | |
| Dec 10, 2014 at 19:45 | history | edited | Michael Hardy | CC BY-SA 3.0 |
edited body
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| Dec 10, 2014 at 19:31 | history | asked | Michael Hardy | CC BY-SA 3.0 |