Example 35 - Show a * b = a + 2b is not commutative - CBSE - Examples

  1. Chapter 1 Class 12 Relation and Functions
  2. Serial order wise

Transcript

Example 35 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.

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.