Let ⋆ be the binary operation on Z (set of integers) defined by
a ⋆ b = 2ab + 5
Show that ⋆ is...
Mathematics, 05.04.2021 14:00 Arealbot
Let ⋆ be the binary operation on Z (set of integers) defined by
a ⋆ b = 2ab + 5
Show that ⋆ is commutative. Hint: Show that a ⋆ b = b ⋆ a
Solution:
Show that ⋆ is associative. Hint: Show that (a ⋆ b) ⋆ c = a ⋆ (b ⋆ c)
Solution:
A. Let ⋆ be the binary operation on Z (set of integers) defined by
a ⋆ b = a + b + ab
1. Show that ⋆ is commutative. Hint: Show that a ⋆ b = b ⋆ a
Solution:
2.Show that ⋆ is associative. Hint: Show that (a ⋆ b) ⋆ c = a ⋆ (b ⋆ c)
Solution:
Answers: 1
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