Comments on: Linear Algebra at a Math Olympiad
https://blog.tanyakhovanova.com/2008/10/linear-algebra-at-a-math-olympiad/
Mathematics, applications of mathematics to life in general, and my life as a mathematician.Fri, 26 Sep 2014 22:32:18 +0000
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By: Reila
https://blog.tanyakhovanova.com/2008/10/linear-algebra-at-a-math-olympiad/#comment-195
Mon, 01 Jul 2013 06:20:31 +0000https://blog.tanyakhovanova.com/?p=63#comment-195find eigenstates to:

ones(7,7) – identity(7,7) = lambda*identity(7,7)

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By: Christ Schlacta
https://blog.tanyakhovanova.com/2008/10/linear-algebra-at-a-math-olympiad/#comment-194
Thu, 13 Jan 2011 18:44:06 +0000https://blog.tanyakhovanova.com/?p=63#comment-194if the 7th dwarf divides all his milk he must initially have no milk, however this contradicts the stated initial state.
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By: Misha
https://blog.tanyakhovanova.com/2008/10/linear-algebra-at-a-math-olympiad/#comment-193
Tue, 14 Oct 2008 03:24:57 +0000https://blog.tanyakhovanova.com/?p=63#comment-193Perron-Frobenius theorem + conservation of the total amount of milk tell us that there is a solution, actually finding it is a matter of calculating an eigenvector of a matrix.
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By: Misha
https://blog.tanyakhovanova.com/2008/10/linear-algebra-at-a-math-olympiad/#comment-192
Tue, 14 Oct 2008 00:56:05 +0000https://blog.tanyakhovanova.com/?p=63#comment-192Sorry, it makes sense either way. Slightly off topic: the Russian national idea explained
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By: Misha
https://blog.tanyakhovanova.com/2008/10/linear-algebra-at-a-math-olympiad/#comment-191
Mon, 13 Oct 2008 13:52:21 +0000https://blog.tanyakhovanova.com/?p=63#comment-191Wait, if each dwarf divides ALL his milk between the other 6, he is left with no milk after his turn. Does he keep 1/7 to himself and gives 1/7 to each of the rest? That would make more sense.
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