A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

What is the dimension of space: problem 1: P (subscript 'n') in [-1,1] problem 2: P in [-1,1] problem 3: P (subscript '3') in [-1,1]

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    It's hard to tell exactly since you haven't defined what P is. I'm assuming it's a polynomial? I'm also thinking the subscript is the big giveaway re. dimension. \[\dim(P_n)=n\]\[\dim(P)=1\]\[\dim(P_3)=3\]...if I had to take an educated guess.

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hi Lokisan, thanks for the reply...I was going through the following link http://tutorial.math.lamar.edu/Classes/LinAlg/Basis.aspx and my guess is that dim(Pn)=n+1 dim(P)=1 and dim(P3)=4 I dont know even my prof did not define what p is...may be I have to go around basis and linear independence and try to get the dimension....can u tell me if am thinking in the right direction...

  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Sorry - I did mean to put dim(P_n)=n+1 etc.

  4. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    It's late.

  5. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so lokisan...is my answer correct...

  6. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    If they are polynomials, then it's the case\[\dim(P_n)=n+1\]

  7. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh ok...thanks a lot...u have any online link...can u share it with me...

  8. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    It will depend on the convention for subscripting on the polynomial.

  9. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hmm ok...

  10. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Regarding links, I don't have any atm. All I have are books :)

  11. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I would say,\[\dim(P_n)=n+1\]\[\dim(P_3)=4\]and as for \[\dim(P)\]if you're to take the subscript as 1, then the dimension is 2, and if the subscript is taken to be 0, then the dimension would be 1.

  12. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The link you sent me is pretty good. A lot of people reference those notes.

  13. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hmm ya...that was helpful thanks!

  14. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Is there any subscript on problem 2?

  15. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    nope...it was written the same way in my class...may be i put it as how u told...like 1 if the subscript is 0 and 2 if the subscript is 1....i think that shud be fine...isnt it so...

  16. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh, okay, if it's a written submission, I would do that. I was just worried in case it was something you had to submit online.

  17. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hmm no...it is a written submission...

  18. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You should probably check with your professor about the convention before submitting. No point losing marks for nothing.

  19. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hmm yeah...

  20. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So, have I answered your question?

  21. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    /are you happy with your answers?

  22. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ha ha more than happy! no need to ask...;)

  23. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Good. Just thinking, you might want to check out the MIT lectures on YouTube. They also provide examples which can be helpful. I haven't checked them out for vector spaces, but I think it's worth a try. The examples I've seen on other topics are quite good.

  24. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ya..i checked through Prof.Strang's 18.06 lecture 9....that was helpful too....thanks for ur advice...

  25. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    np...good luck :)

  26. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.