Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Binary Operations
Ex 1.4 ,1 (ii) Important Deleted for CBSE Board 2024 Exams
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Binary Operations
Last updated at May 29, 2023 by Teachoo
Ex 1.4, 2 For each binary operation * defined below, determine whether * is commutative or associative. (iv) On Z+, define a * b = 2^ππ Check commutative * is commutative if a * b = b * a Since a * b = b * a β a, b, c β Z+ * is commutative a * b = 2^ππ b * a = 2^ππ = 2^ππ Check associative * is associative if (a * b) * c = a * (b * c) Since (a * b) * c β a * (b * c) * is not an associative binary operation (a * b)* c = (2^ππ) * c = 2^(2^ππ π) a * (b * c) = a * (2^ππ) = 2^(π2^ππ )