Question

here, a question .please help

Answer 1

let V be the space of polynomial over R \[\le2\]

Answer 2

.let \[\emptyset _{1} \emptyset _{2} \emptyset _{3}\] be the linear functional on V defiend by

Answer 3

\[\emptyset _{1}(f(t))=f(t)dt,\emptyset _{2}f(t)=f \prime (1),\emptyset _{3}(f(t))=f(0). here f(t)=a+bt+ct^2\] and f'(t) denots the derivative of f(t).

Answer 4

find the basis {\[f _{1}(t),f _{2}(t),f _{3}(t)\] of V that is dual to \[ \emptyset _{1}, \emptyset _{2}, \emptyset _{3},\]

Answer 5

please help

Answer 6

@zzr0ck3r

Answer 7

@oldrin.bataku

Answer 8

@Loser66

Answer 9

@Michele_Laino

Answer 10

@Kainui

Answer 11

@oldrin.bataku

Answer 12

Can you tell me what a basis, functional, and what do you mean by spaces, and over R.

If you ant answer all four of those questions, you should read up before trying this.

Answer 13

@jtvatsim

Answer 14

OK, so I noticed that zzr0ck3r had some questions for you. Were you clear on those definitions?

Answer 15

Phew... that was tough. I hope it isn't so tough reading it. Take your time through it. Ultimately, dual just means that you will be setting equations equal to 0s and 1. It's a simple idea, but very hard to get across. Good luck! I'm signing off for tonight. :)

Answer 16

Not sure if the attachment went through, here is is again.