Question
Consider a binary operation * on the set {1, 2, 3, 4, 5} given by the following multiplication table (Table 1.2).
Is * commutative?
(Hint: use the following table)
Is * commutative?
(Hint: use the following table)
|
*
|
1
|
2
|
3
|
4
|
5
|
|
1
|
1
|
1
|
1
|
1
|
1
|
|
2
|
1
|
2
|
1
|
2
|
1
|
|
3
|
1
|
1
|
3
|
1
|
1
|
|
4
|
1
|
2
|
1
|
4
|
1
|
|
5
|
1
|
1
|
1
|
1
|
5
|