Results 1 to 2 of 2

Math Help - find the matrix for the transformation

  1. #1
    Newbie
    Joined
    Oct 2012
    From
    california
    Posts
    15

    find the matrix for the transformation

    the question is: Find the matrix for the transformation which first reflects across the main diagonal, then projects onto the line 2y+3^(1/2)=0 and then reflects about the line 3^(1/2)y=2x.

    am i supposed to start by finding the reflection across the main diagonal then multiplying it by the projected first line then multiplying that by the reflected second line?

    also, does anyone know how to reflect across the main diagonal in terms such as T(x,y) = (? , ?)o

    help is appreciated
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Jan 2008
    Posts
    588
    Thanks
    87

    Re: find the matrix for the transformation

    Quote Originally Posted by bakinbacon View Post
    am i supposed to start by finding the reflection across the main diagonal then multiplying it by the projected first line then multiplying that by the reflected second line?
    I think you have the right ideas, but your choice of terms is not quite right. What you want to do is to fix a basis (preferably the standard ones) and find the matrices associated with each linear transformation described above. Then you can compose all of these operations by multiplying the associated matrices.
    also, does anyone know how to reflect across the main diagonal in terms such as T(x,y) = (? , ?)o
    A linear transformation is determined by what it does to the basis. That said, I don't know what you mean by the main diagonal... is it the line x=y?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. how to find a matrix of a linear transformation
    Posted in the Advanced Algebra Forum
    Replies: 8
    Last Post: January 28th 2013, 01:00 PM
  2. Find the transformation matrix???
    Posted in the Advanced Algebra Forum
    Replies: 12
    Last Post: January 16th 2013, 03:57 AM
  3. Find the Matrix of a Linear Transformation
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: December 9th 2012, 08:13 AM
  4. Matrix transformation
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: August 3rd 2010, 06:04 AM
  5. Find image of u under matrix transformation
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: February 2nd 2009, 01:41 PM

Search Tags


/mathhelpforum @mathhelpforum