Flashcards
Cayley Tables
Cards in this deck (6)
- 1A Cayley table can be used to show.....The results from a binary operation
- 2Cayley table for multiplication modulo 5:
- 3Is multiplication modulo 5 commutative?Yes, because it's reflective in the leading diagonal
- 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
- 5The row always represents what part of the binary operation?The first element
- 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)