Mathematics II20765 marksBinary Operations
Define binary operation. Determine whether the binary operation * is associative or commutative or both where * is defined on ℚ by letting x * y = fracx + y3
Define binary operation. Determine whether the binary operation * is associative or commutative or both where * is defined on ℚ by letting $x * y = \frac{x + y}{3}$ [5]
A binary operation on a non-empty set S is a rule that assigns to each ordered pair (a, b) of elements of S a unique element a\b in S. Formally, a mapping \ : S x S - S is called a binary operation on S if: - For all a, b in S, a\b is in S (closure property) - The result is unique --- The binary ...