Results 1 to 2 of 2
Like Tree1Thanks
  • 1 Post By mathguy25

Math Help - Find the B-Matrix of T under the standard basis.

  1. #1
    Junior Member
    Joined
    Apr 2013
    From
    USA
    Posts
    63
    Thanks
    1

    Find the B-Matrix of T under the standard basis.

    Question is included in the attached picture. How do I go about finding [T]b under the standard basis? I don't know where to start because I'm unfamiliar with the notation. I believe 2p'(t) means the derivative of p'(t)^2.
    Attached Thumbnails Attached Thumbnails Find the B-Matrix of T under the standard basis.-b-matrix_of_t.jpg  
    Last edited by lamentofking; April 14th 2013 at 03:01 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Apr 2013
    From
    Green Bay
    Posts
    68
    Thanks
    16

    Re: Find the B-Matrix of T under the standard basis.

    If I'm understanding this correctly (I too do not understand the notation used here but I have solved similar problems).

    Let A = {1, x, x^2} be our standard basis in P^2.

    Then T(A) = {T(1), T(t), T(t^2)} = {2*0 - 3*1, 2*1 - 3*t, 2*2t - 3*t^2} = {-3, 2-3t, 4t-3t^2} = {-3 + 0t + 0t^2, 2 - 3t + 0t^2, 0 + 4t - 3t^2}

    Then matrix = [-3; 2; 0]
    .....................[0; -3; 4]
    .....................[0; 0; -3]
    Thanks from lamentofking
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. How to find a Jordan-basis for this matrix?
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: April 8th 2013, 01:06 PM
  2. Find a standard basis vector
    Posted in the Algebra Forum
    Replies: 0
    Last Post: June 11th 2012, 05:18 AM
  3. Replies: 2
    Last Post: March 10th 2011, 01:39 PM
  4. Replies: 2
    Last Post: January 24th 2011, 05:15 AM
  5. Matrix with respect to the standard basis
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: April 26th 2009, 01:31 PM

Search Tags


/mathhelpforum @mathhelpforum