## anonymous one year ago please i need help on this

1. anonymous

let V be the space of polynomial over R of degree$\le2$. let $\emptyset _{1} \emptyset_{2} \emptyset _{3}$ be the linear functional on V defiend by $\emptyset _{1} \[(f(t))=f(t)dt,\emptyset _{2}F(t)=f \prime(1),\emptyset _{3}(f(t))=F(0),$

2. anonymous

f(t)=a+bt+ct^2 and Fprime(t) denotes the derivatives of f(t). find the basis {$f _{1}(t),f _{2}(t),f _{3}(t)$} of V that is daul to {${\emptyset _{1} \emptyset _{2} \emptyset _{3}}$

3. anonymous

@ganeshie8

4. anonymous

@oldrin.bataku

5. ganeshie8

sorry i have no idea, but you may use \varphi for $$\varphi$$ in latex

6. ganeshie8

also try using $$some latex mess$$ for inline latex

7. anonymous

@zzr0ck3r

8. anonymous

@Michele_Laino

9. anonymous

@misty1212

10. anonymous

@Loser66

11. Loser66

Can't do anything. I'm not on computer. It's hard to type on the phone.

12. Loser66

Will consider it later when I can use the computer

13. anonymous

ok . please when you are on computer, you can work on it sir

14. Loser66

Sure

15. zzr0ck3r

Can you repost the question. I can't tell what you are asking.

16. zzr0ck3r

What are these questions from, this is completely different then the stuff you were studying yesterday. It seems to me that you are going through this stuff way to fast. Are you self teaching?

17. Loser66

I guess: $$V= P_2$$ $$\emptyset_1: V\rightarrow V\\f(t) \mapsto \int f(t)dt$$ $$\emptyset_2: V\rightarrow V\\f(t) \mapsto f'(1)$$ $$\emptyset_3 :V\rightarrow V\\f(t) \mapsto f(0)$$ Given $$f(t) = a+bt +ct^2\in V$$ Find ??? I didn't get the question also. :) Can you please take a snapshot or post the link??

18. zzr0ck3r

From everything else he posts, my guess is it is something intro level into this topic. Often the definition alone will solve his questions. So what could be one of the most basic things to find?

19. Loser66

If it is just find the images of $$\emptyset1,2,3$$ It is easy.