Example 45 - Chapter 1 Class 12 Relation and Functions
Last updated at Nov. 5, 2018 by Teachoo
Transcript
Example 45 Determine which of the following binary operations on the set R are associative and which are commutative. (a) a * b = 1 a, b R Check commutative * is commutative if a * b = b * a Since a * b = b * a a, b R * is commutative Check associative * is associative if (a * b) * c = a * (b * c) Since (a * b) * c = a * (b * c) a, b, c R * is an associative binary operation Example 45 Determine which of the following binary operations on the set R are associative and which are commutative. (b) a b = (a + b) 2 a, b R Check commutative * is commutative if a * b = b * a Since a * b = b * a a, b R * is commutative Check associative * is associative if (a * b) * c = a * (b * c) Since (a * b) * c a * (b * c) a, b, c R * is not an associative binary operation
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Chapter 1 Class 12 Relation and Functions
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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.