Results 1 to 2 of 2

Math Help - Matrix associated with a linear map

  1. #1
    Member kjchauhan's Avatar
    Joined
    Nov 2009
    Posts
    137
    Thanks
    2

    Matrix associated with a linear map

    Determine the matrix (T:B_1,B_2) for linear map T: \wp_{4} {\longrightarrow}\wp_{4}, T(p)(x) =\int_{1}^{x} \ p'(t) \  dt
    Where B_1={\{1, x, x^2, x^3, x^4}\} and B_2={\{x-1,x+1,x^2-x^4,x^3-x^4,x^2+x}\}.

    Solution please..

    Thanks..
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Thanks
    2
    Quote Originally Posted by kjchauhan View Post
    Determine the matrix (T:B_1,B_2) for linear map T: \wp_{4} {\longrightarrow}\wp_{4}, T(p)(x) =\int_{1}^{x} \ p'(t) \ dt
    Where B_1={\{1, x, x^2, x^3, x^4}\} and B_2={\{x-1,x+1,x^2-x^4,x^3-x^4,x^2+x}\}.

    Solution please..

    Thanks..

    Apply T on each and every element of B_1 and write the result as a linear combination of elements of B_2, and then take the transpose of the coefficients matrix.

    Tonio
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: November 27th 2010, 04:07 PM
  2. A linear Transformation associated with matrix
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: November 28th 2009, 05:40 AM
  3. Matrix associated to a linear map
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: September 12th 2009, 06:30 AM
  4. Matrix associated to a linear map
    Posted in the Algebra Forum
    Replies: 0
    Last Post: September 10th 2009, 08:52 PM
  5. matrix for linear transformation
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: February 1st 2007, 03:15 PM

Search Tags


/mathhelpforum @mathhelpforum