anonymous
  • anonymous
here, a question .please help
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
let V be the space of polynomial over R \[\le2\]
anonymous
  • anonymous
.let \[\emptyset _{1} \emptyset _{2} \emptyset _{3}\] be the linear functional on V defiend by
anonymous
  • anonymous
\[\emptyset _{1}(f(t))=f(t)dt,\emptyset _{2}f(t)=f \prime (1),\emptyset _{3}(f(t))=f(0). here f(t)=a+bt+ct^2\] and f'(t) denots the derivative of f(t).

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anonymous
  • anonymous
find the basis {\[f _{1}(t),f _{2}(t),f _{3}(t)\] of V that is dual to \[ \emptyset _{1}, \emptyset _{2}, \emptyset _{3},\]
anonymous
  • anonymous
please help
anonymous
  • anonymous
anonymous
  • anonymous
@oldrin.bataku
anonymous
  • anonymous
anonymous
  • anonymous
anonymous
  • anonymous
anonymous
  • anonymous
@oldrin.bataku
zzr0ck3r
  • zzr0ck3r
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.
anonymous
  • anonymous
jtvatsim
  • jtvatsim
OK, so I noticed that zzr0ck3r had some questions for you. Were you clear on those definitions?
jtvatsim
  • jtvatsim
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. :)
jtvatsim
  • jtvatsim
Not sure if the attachment went through, here is is again.
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