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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 ] [ ] ² = [ 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 ] ² , b = ± [ 2 ] [ ] [ ] [ 2 ] ² , c = ± [ ] [ 1 ] [ 2 ] [ ] ² , d = ± [ ] [ 2 ] [ 1 ] [ ] ² 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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 Fall '08
 PARRY
 Algebra, Group Theory, Addition, Multiplication, Prime number, adjacent digits, correct ISBN

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