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


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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.

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.