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Question 18 - Whether binary commutative/associative or not - Chapter 1 Class 12 Relation and Functions
Last updated at Dec. 16, 2024 by Teachoo
Whether binary commutative/associative or not
Chapter 1 Class 12 Relation and Functions
Concept wise
- Relations - Definition
- Empty and Universal Relation
- To prove relation reflexive, transitive, symmetric and equivalent
- Finding number of relations
- Function - Definition
- To prove one-one & onto (injective, surjective, bijective)
- Composite functions
- Composite functions and one-one onto
- Finding Inverse
- Inverse of function: Proof questions
- Binary Operations - Definition
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Whether binary commutative/associative or not
- Binary operations: Identity element
- Binary operations: Inverse
Transcript
Question 18 Show that ∗ : R × R → R defined by a ∗ b = a + 2b is not commutative. We have to prove it is not commutative i.e. a * b ≠ b * a a + 2b ≠ b +2a Let a = 3, b = 4 Since a * b ≠ b * a * is not commutative.
