Exercise · ZW-BINARY-OPERATION-010 · ★★★ Advanced
Which statement is false in general?
Choose one option.
Show answer
- A. Every binary operation is commutative
Explanation
Not every binary operation is commutative: subtraction (a − b ≠ b − a) and matrix multiplication are counterexamples. The other three statements are true.
Review the concept: Binary operation
A binary operation on a set G is a function that takes any two elements of G and returns an element of G.
\[\ast:G\times G\to G\]
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