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Chapter 1 Class 12 Relation and Functions
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Ex 1.4, 4 - Consider * on {1, 2, 3, 4, 5} given by multiplication - Whether binary commutative/associative or not

Ex 1.4, 4  - Chapter 1 Class 12 Relation and Functions - Part 2
Ex 1.4, 4  - Chapter 1 Class 12 Relation and Functions - Part 3 Ex 1.4, 4  - Chapter 1 Class 12 Relation and Functions - Part 4


Transcript

Ex 1.4, 4 (Introduction) Consider a binary operation * on the set {1, 2, 3, 4, 5} given by the following multiplication table. (Hint: use the following table) Here, 1 * 1 = 1 1 * 2 = 1 2 * 4 = 2 3 * 5 = 1 4 * 3 = 1 5 * 4 = 1 Ex 1.4, 4 Consider a binary operation * on the set {1, 2, 3, 4, 5} given by the following multiplication table. (i) Compute (2 * 3) * 4 and 2 * (3 * 4) Ex 1.4, 4 Consider a binary operation * on the set {1, 2, 3, 4, 5} given by the following multiplication table. (ii) Is * commutative? For every a & b a * b = b * a Also, note that 1st row = 1st column , 2nd row = 2nd column & so on So, a * b = b * a a, b {1, 2, 3, 4, 5} Hence, * is commutative Ex 1.4, 4 Consider a binary operation * on the set {1, 2, 3, 4, 5} given by the following multiplication table. (iii) Compute (2 * 3) * (4 * 5). 2 * 3 = 1 4 * 5 = 1 So, (2 * 3) * (4 * 5) = 1 * 1 = 1

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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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.