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Unformatted text preview: G )? Explain. 4. Consider the permutation representation of U (15) for which 2 7 (1 2 3 4) and 14 7 (5 6). (a) Find the image of each element of U (15) under this representation. (b) Find a matrix representation of U (15) using 6 6 permutation matrices. (c) Consider the following six vectors in R 3 : v 1 = (1 , , 0) v 2 = (0 , 1 , 0) v 3 = (1 , , 0) v 4 = (0 ,1 , 0) v 5 = (0 , , 1) v 6 = (0 , ,1) . Use these vectors to nd a 3 3 matrix representation of U (15)....
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This document was uploaded on 11/03/2010.
 Spring '09
 Math, Algebra

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