Fyll1H - FULLADIO 1 H DIANUSMATIKOI QWROI Na parad¸sete...

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FULLADIO 1 H DIANUSMATIKOI QWROI Na parad¸sete lumènec tic ask seic 1 , 4 , 6 , 7 kai apì to biblÐo tic ask seic 9 kai 22 sel. 225-226. 1. Ston Dianusmatikì q¸ro R 4 , jewroÔme touc upoq¸rouc: V 1 = { ( x 1 ,x 2 ,x 3 ,x 4 ) : x 1 + x 2 = x 2 + x 3 = x 3 + x 4 = 0 } , V 2 = [(2 , - 2 , 2 , - 2) , (1 , 2 , - 2 , - 4) , (4 , 0 , 0 , - 8)] , V 3 = { ( x 1 ,x 2 ,x 3 ,x 4 ) : x 2 + x 3 = 0 } . Na deÐxete ìti eÐnai V 1 V 2 V 3 kai ìti upˆrqei bˆsh { x , y , z , w } tou R 4 tètoia, ¸ste { x } eÐnai bˆsh tou V 1 , { x , y } eÐnai bˆsh tou V 2 , { x , y , z } eÐnai bˆsh tou V 3 . 2. Na exetˆsete an ta sÔnola: P = { 1 , 1 + x, 1 + x + x 2 , ··· , 1 + x + x 2 + ··· + x ν } , Q = { 1 + x,x + x 2 ,x 2 + x 3 , ··· ,x ν - 1 + x ν } eÐnai bˆseic tou d.q. P ν twn poluwnumik¸n sunart sewn bajmoÔ ν . 3. DÐnetai o d.q. F R twn pragmatik¸n sunart sewn me pedÐo orismoÔ to R . i)
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This note was uploaded on 10/02/2009 for the course G 001 taught by Professor Shmmygr during the Spring '07 term at National Technical University of Athens, Athens.

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