Let a binary operation '*' be defined on a set A. The operation will be
MATHEMATICS
JAMB 2023
Let a binary operation '*' be defined on a set A. The operation will be commutative if
- A. a 'b = b 'a
- B. (a 'b) 'c = a '(b'c)
- C. (b ? c) 'a = (b 'a) ? (c 'a)
- D. None of the above
Correct Answer: A. a 'b = b 'a
Explanation
A binary operation '*' defined on a set A is said to be commutative only if a*b=b*a, ∀a, b∈A.
If (a*b)*c=a*(b*c), then the operation is said to associative ∀ a, b∈ A.
If (b ο c)*a=(b*a) ο (c*a), then the operation is said to be distributive ∀ a, b, c ∈ A.
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