Ex 1.4, 9
Let * be a binary operation on the set Q of rational numbers as follows. Find which are associative and which are commutative :
(iii) a * b = a + ab
* is commutative if
a * b = b * a
a * b ≠ b * a
* is not commutative
a * b = a + ab
* is associative if
(a * b) * c = a * (b * c)
Since (a * b) * c ≠ a * (b * c)
* is not an associative binary operation
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.
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