Results 1 to 2 of 2

Math Help - Solving the column vector for the usual basis.

  1. #1
    Newbie
    Joined
    Sep 2008
    Posts
    2

    Solving the column vector for the usual basis.

    Hi everyone! I've been stuck on this problem for the last hour and i need some sort of hint or help for this.

    let
    v=2x^3 - 5x^2 + x - 1 \in R_{3} [x]. Write the column vector v e-hat for the usual basis, i.e. 1, x, x^2, x^3

    I've been taught to use the Talyor's series but Im confused about how i can go about with that. Thanks!
    Last edited by Layla; September 13th 2008 at 10:30 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by Layla View Post
    Hi everyone! I've been stuck on this problem for the last hour and i need some sort of hint or help for this.

    let
    v=2x^3 - 5x^2 + x - 1 \in R_{3} [x]. Write the column vector v e-hat for the usual basis, i.e. 1, x, x^2, x^3

    I've been taught to use the Talyor's series but Im confused about how i can go about with that. Thanks!
    Why is this not:

    <br />
\left[ {\begin{array}{*{20}c}<br />
    - 1  \\<br />
    + 1  \\<br />
  - 5 \\ <br />
 2 \\ <br />
\end{array}} \right]<br />

    This does not involve Taylor series, you are just required to write a vector in a 3 dimensional real or complex vector space in terms of the given basis.


    RonL
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Basis of ker L --> Basis of vector space?
    Posted in the Advanced Algebra Forum
    Replies: 6
    Last Post: September 17th 2011, 08:57 AM
  2. Replies: 4
    Last Post: February 2nd 2011, 04:16 PM
  3. Replies: 1
    Last Post: January 14th 2011, 09:51 AM
  4. Vector Spaces and Basis
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: November 30th 2009, 09:34 AM
  5. Vector Space and Basis
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: September 27th 2008, 04:36 PM

Search Tags


/mathhelpforum @mathhelpforum