Now, we know what is a relation between two sets.  Let's move on to understand the properties of relation.  There are FOUR properties in total.  Let's start with the first two properties in this unit : reflexive and symmetric properties.

By the end of this lesson, you will be able to identify reflexive and symmetric relations.

Estimated duration : 15 minutes

Lesson 1 of 5: Reflexive Relation

Reflexive relation is kind of like looking at ourselves in the mirror. So what do we see ? Our own image, of course.

Just like these cute animals in the video below. Let's take a look to see what they "see".

https://youtu.be/VoJ-Ey6q8uM

Such funny reactions ...

Let's go ahead and learn first about REFLEXIVE RELATION in this video clip.

Please note that the following video demonstrates all the different properties of relations.  Let's take one step at a time and just learn the first one.

https://youtu.be/WauEBdi1HHg

Did you manage to get it all ? Let's see …

Knowledge Check

1. { (1,2), (2,3), (3,4) }
2. { (1,1), (2,2), (3,3) }
3. { (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (2,4) }
4. { (1,1), (2,2), (3,3), (4,4) }