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Example 37 - Show a * b = a + 2b is not associative - Class 12 - Examples

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Example 37 Show that ∗ : R × R → R defined by a ∗ b = a + 2b is not associative. * is associative if (a * b) * c = a * (b * c) Since (a * b) * c ≠ a * (b * c) * is not an associative binary operation

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.