35:42 Sir but zero polynomial should be a constant polynomial. Didn't you stated the necessary condition for zero polynomial and not the sufficient? Please correct me if I am wrong.
Thank you sir:) Polynomial space se related mere questions the but class live nahi ho payi.😢 agar ho sake to Polynomial vector space par ek doubt session rakh lijiye sir. Agar na ho sake to koi bat nahi
But the Zero vector is also satisfying the property of p(1)=p(2)=0 in W_15 because zero polynomial gives zero for all values of its domain so why did we need to add the condition p(0)=0?
Yeah that's a mistake. The general form of a polynomial is p(x) = a+bx²+cx³+………+(constant)x^n which means p(0)=a so the condition p(0)=0 is not required for any polynomial, I think sir got confused there.
Polynomial space itna achcha phle kbhi clear nhi hua tha jbki main phle pdh chuki hu. Apne bhut bhut achha padhaya sir, thank you so much🙏
Sir p(n)=0 is in itself packet of proving elements of zero vector, please check once
Very nice 💯
Yes sir live me jada mja aata hai
W8 subspace nhi hoga
Kyuki question me jo polynomial hai wo odd hai aur sum of two odd polynomial is even so closure property fails😊
Sum of two odd degree polynomial is always odd degree..... coefficient add hote hai na.... variable thodi!!!
sir example 16 me agar g(x)=0 le le to zero polynomial bhi to aa jayege to p(0) include karne ki koi jaroorat nhi hai shyad plz guide me
Sir W16, is closed under scalar multiplication and addition which already implies the existence of a zero polynomial making W16 a subspace?
9:55 Vivek sir ....W8 me even function ni hh na vo...even function f(-x)=f(x) hota h.....or odd function f(-x)=-f(x) hota h...
Haan mujhe b yhi doubt h use even kyu bol rhe
Yes
Bhayankar ❤
Sir isma advance or basic dono padhaoge aap
35:42 Sir but zero polynomial should be a constant polynomial. Didn't you stated the necessary condition for zero polynomial and not the sufficient?
Please correct me if I am wrong.
sir class timing kya h
Thank you sir:)
Polynomial space se related mere questions the but class live nahi ho payi.😢 agar ho sake to Polynomial vector space par ek doubt session rakh lijiye sir. Agar na ho sake to koi bat nahi
Sir W8 odd polynomial hai vo subspace kaise bna payega scalar multiplication fail ho jayega
Nahi hoga
Sir hmare pass toh live class aayi hi nhi😢
sir P(X) w6 kaise fail hoga
Thank you ❤
Sir subspace me matrix space rhe gya hai abhi tk nahi huya hai
Sir ye batch to 6 se 7 chalta hai aaj kyu pahle
Sir mujhe hmesha ek confusion rhta hai 0 irrational numbers me ata hai ya nhi?
Ni aata Bhai zero is rational number
Bcz we can write in from of p/q
Like 0/1=0
Thank you sir 🙏।
Done
जय श्रीराम 🙏
❤❤❤❤❤❤
thankyou sir.
zero vector for polynomial P(0)=0 hai ya P(x)=0
P(x)=0 for all x € domain .
Thank you sir
✍️✍️👌👌🙏🏻🙏🏻
❤❤❤❤❤❤❤❤❤❤❤❤❤❤
But the Zero vector is also satisfying the property of p(1)=p(2)=0 in W_15 because zero polynomial gives zero for all values of its domain so why did we need to add the condition p(0)=0?
Yeah that's a mistake. The general form of a polynomial is p(x) = a+bx²+cx³+………+(constant)x^n which means p(0)=a so the condition p(0)=0 is not required for any polynomial, I think sir got confused there.
Bhai jo sir ne padhaya wo shi h y glt?
W_8 will not a subspace??
Yes nhi hai
Thank you sir
Thank you Sir
Thank you sir
Thank you sir