Properties of Relation

[@princetandel3752]

Good explanation it's help to understand propertys of numerical relationship thank you

[@Irfan07104]

We r lucky to have a great teacher like u Tq so much mam ❤️❤️❤️

[@discretemathematics9972]

Welcome 😊

[@dineshv6994]

Well said 😃

[@kavitambar6956]

Nicely explained

[@discretemathematics9972]

Thank you so much 🙂

[@tanmayjoshi3440]

Perfect 💯💯

[@discretemathematics9972]

Thanks

[@sammunta1543]

good explanation but madam am not fully clear on transitive relation more especially example(R1) . i did not get u why R1 is transitive i mean how you arrive on your answer

[@discretemathematics9972]

R1 is transitive as all the elements of this satisfy the conditions of transitivity, don't understand where your doubt is? Please again listen to carefully and think.

[@ayushrawat-fm7xg]

Ma'am wht is different between antisymmetric and symmetric

[@discretemathematics9972]

Antisymmetric hold only for a = b and Symmetric hold for all a,b...

[@akankshathakur1032]

@@discretemathematics9972 ma'am is it not necessary for all the memebers of relation set to meet the property of definition in case of antisymmetric?

[@isanatan_dharma]

Mam at 18:38 .why R1 is not anti symmetric as it is having a=b property as(1,1),(3,3),(4,4) is present there

[@discretemathematics9972]

But (1,2), (2,1) are also there that shows property aRb and bRa for a#b.

[@nikJ639]

Mam is there any difference btwn non-reflexive and Antisymmetric?

[@discretemathematics9972]

Yes, In Antisymmetric, aRb and bRa => a=b so no other ordered pairs should be there which follows aRb and bRa => a#b, like (1,2) and (2,1) both not should be there. But in non-reflexive, any aRa be there and its doesn't meant that there be (1,2) and (2,1).

[@akankshathakur1032]

Ma'am antisymmetric 3rd example, x is divisir of y is the condition, y is also divisor of x is not given they can't be equal. How is it antisymmetric relation, please tell?

[@discretemathematics9972]

Yes, x is divisor of y given, now you see that y is also divisor of x iff x=y. And this is the definition of antisymmetric. Like example 2. If it was not hold for x=y then it was not be antisymmetric.

[@akankshathakur1032]

@@discretemathematics9972but ma'am x=y is not given

[@ayeinbaigan765]

And ma'am in 19:47 why is it asymmetric as asymmetric property holds for a not equal to b and here (4,4) and (3,3) is present why is it asymmetric ma'am?

[@discretemathematics9972]

No, asymmetric property is that aRb but b doesn't related to a. So here we have (1,4) but not (4,1). That's why it is asymmetric.

[@ayeinbaigan765]

Mam at 19:11 1st example why isn't antisymmetric and symmetric both??

[@discretemathematics9972]

Since antisymmetric possible if aRb and bRa when a=b, but here 1R2 and 2R1 when 1#2, that's why isn't antisymmetric only symmetric.

[@ayushrawat-fm7xg]

Ma'am at 21:12 (1,1),(1,2),(2,2),(2,1),(3,3) Why don't you check (2,1)and (3,3) 2,1 belongs to R ND 3,3 belongs to R But 2,3 is not in set how it is transitive

[@discretemathematics9972]

Ask me in Interactive class, I will clear

[@ayushrawat-fm7xg]

@@discretemathematics9972 OK ma'am

[@AB_sh0rts]

Mam hindi me bhi bol liya kariye plzz

[@PriyanshuSingh-ky8jt]

Mam if u explain in Hindi then it will be more easy to learn 😊😊

[@rohitthapliyal6678]

Sahi bol raha bhaii

[@PriyanshuSingh-ky8jt]

@@rohitthapliyal6678 bro u r also from Uttarakhand GEHU

[@rohitthapliyal6678]

Hnn bhaii gehu sai huu

[@PriyanshuSingh-ky8jt]

@@rohitthapliyal6678 BCA 1 st year hai kya apka