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Unformatted text preview: z = ( ?, 1 )( x , ) = ? x + 1 or ? x 1 > x solves Gordans system I. 3.241 Let a 1 , a 2 ,..., a be a basis for . Let ? = ( a 1 , a 2 ,..., a ) be the matrix whose columns are a . To say that contains no positive vector means that the system ? x > has no solution. By Gordans theorem, there exists some y such that ? ? y = that is a y = ya = 0 , = 1 , 2 ,..., so that y . 190...
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This note was uploaded on 01/16/2012 for the course ECO 2024 taught by Professor Dr.dumond during the Fall '10 term at FSU.
- Fall '10