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Cayley Tables

Doc Boff Further Maths AS level Inglés 6 fichas

Cayley Tables

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  1. 1A Cayley table can be used to show.....The results from a binary operation
  2. 2Cayley table for multiplication modulo 5:Cayley table for multiplication modulo 5:
  3. 3Is multiplication modulo 5 commutative?Yes, because it's reflective in the leading diagonal
  4. 4What is the identity of multiplication modulo 5?1, because that's where the column that matches the set and the row that matches the set overlap
  5. 5The row always represents what part of the binary operation?The first element
  6. 6If we have a Cayley table and we have to show it's associative (or not), how would we do it?Use exhaustive proof (or if proving it's not associative, find a counter example)

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Cayley Tables
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