Results 1 to 2 of 2

Math Help - Please check, Matrix transformation

  1. #1
    Junior Member
    Joined
    May 2006
    Posts
    31

    Please check, Matrix transformation

    A transformation f is a reflction in the line y = -x + 1


    What I have done;

    First I shifted the plane 1 unit down so that the line of reflection passes through the origin. I think the line y = -x makes an angle -45 degrees with the positive x - axis. It then follows that the reflection in this line is Q-45 degrees so that the required matrix is



    Q-45 degrees ( Cos 270 Sin 270 ) = ( 0 -1 )
    Sin270 -cos 270 -1 0

    Then I find the reflection by using composite transformation
    t 0,1 o (q -45 degrees 0 t 0,-1)


    This gives f(x) = (0 -1)x + (1)
    -1 0 1
    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 fair_lady0072002
    A transformation f is a reflction in the line y = -x + 1


    What I have done;

    First I shifted the plane 1 unit down so that the line of reflection passes through the origin. I think the line y = -x makes an angle -45 degrees with the positive x - axis. It then follows that the reflection in this line is Q-45 degrees so that the required matrix is



    Q-45 degrees ( Cos 270 Sin 270 ) = ( 0 -1 )
    Sin270 -cos 270 -1 0

    Then I find the reflection by using composite transformation
    t 0,1 o (q -45 degrees 0 t 0,-1)


    This gives f(x) = (0 -1)x + (1)
    -1 0 1
    This looks OK to me. (you can check this by finding the images of a three
    points using a diagram, and checking the observation against the result
    given by the transformation).

    RonL

    RonL
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Matrix transformation 2
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: November 23rd 2011, 05:35 AM
  2. Matrix transformation
    Posted in the Advanced Algebra Forum
    Replies: 13
    Last Post: August 3rd 2010, 09:50 AM
  3. Linear Transformation Check
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: November 16th 2009, 10:20 AM
  4. Matrix Transformation
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: July 2nd 2009, 11:17 PM
  5. finding check matrix from generating matrix
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: June 3rd 2008, 04:27 AM

Search Tags


/mathhelpforum @mathhelpforum