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Unformatted text preview: ab = 1 mod 11, and the only possibility is to interchange the 2 and 1. Thus the correct ISBN is 2406124061 Multiplication of matrices over Z 6 . [ 1 ] [ 2 ] [ 3 ] [ 4 ] [ 3 ] [ 1 ] [ 1 ] [ ] [ 5 ] [ 5 ] [ 1 ] [ ] = [ 1 ] [ 1 ] [ 2 ] [ 5 ] [ 1 ] [ ] [ 2 ] [ 1 ] [ 1 ] [ 5 ] [ 2 ] [ ] [ 3 ] [ 1 ] [ 4 ] [ 5 ] [ 3 ] [ ] [ 4 ] [ 1 ] [ 3 ] [ 5 ] [ 4 ] [ ] [ 3 ] [ 1 ] [ 1 ] [ 5 ] [ 3 ] [ ] [ 1 ] [ 1 ] [ 3 ] [ 5 ] [ 1 ] [ ] = [ 5 ] [ 2 ] [ 5 ] [ 5 ] [ 4 ] [ 3 ] [ 2 ] [ 1 ] [ 3 ] Cayley table for a = [ 1 ] [ ] [ ] [ 1 ] , b = [ 2 ] [ ] [ ] [ 2 ] , c = [ ] [ 1 ] [ 2 ] [ ] , d = [ ] [ 2 ] [ 1 ] [ ] under the operation of matrix modular multiplication. a b c d a a b c d b b a d c c c d b a d d c a b...
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This note was uploaded on 01/02/2012 for the course MATH 3124 taught by Professor Parry during the Fall '08 term at Virginia Tech.
 Fall '08
 PARRY
 Algebra, Multiplication

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