Q. 1 B4.3( 16 Votes )

# Determine whether or not each of the definition of ∗ given below gives a binary operation. In the event that ∗ is not a binary operation, give justification for this.On Z+, define ∗ by a ∗ b = ab

Answer :

It is given that on Z+, define by a b = ab

We can see that for each a, b ϵ Z+, there is a unique element ab in Z+.

* carries each pair (a, b) to a unique element a * b = ab in Z+.

Therefore, * is a binary operation.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Functions - 0152 mins
Different kind of mappings58 mins
Range of Functions58 mins
Quick Revision of Types of Relations59 mins
Functions - 0947 mins
Quick Recap lecture of important graphs & functions58 mins
Range of Quadratic/quadratic & linear/Linear functions45 mins
Understand Fractional part and Mod Function in 1 hour61 mins
Some standard real functions61 mins
Battle of Graphs | various functions & their Graphs48 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses