Thank you Sir...As usual, I learned a lot from your video. I had one question, though, if you could kindly answer. Are Symmetric and Anti-symmetric relations exactly opposite of each other in meaning ?
No they are not. In fact it is possible for a Relation to be both Symmetric as well as Antisymmetric. We will discuss in detail in one of our next videos.
Symmetry is one of the three defining properties of an equivalence relation, along with reflexivity and transitivity.
Looking forward to many more
Excellent
Thanks 👍
Welcome 👍
Sir does symmetry imply reflexivity in relation
No
A relation may be symmetrical but not reflexive at all.
Thank you Sir...As usual, I learned a lot from your video.
I had one question, though, if you could kindly answer.
Are Symmetric and Anti-symmetric relations exactly opposite of each other in meaning ?
No they are not.
In fact it is possible for a Relation to be both Symmetric as well as Antisymmetric.
We will discuss in detail in one of our next videos.
@rajivk.sharda Thank you for the clarification, Sir.
Eagerly waiting for the next video.