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Question on Linear Transformations with Lines and finding Natural Matrices.

  1. Dec 16, 2012 #1
    Let T : R2 -> R2 and S : R2 -> R2 be linear transformations de fined by:
    T(x; y) = (5x + y ; 2x + 2y) and S(x; y) = (3x + 2y ; x):

    (i). Find the image of the line 2x + 3y = 5 under T.
    (ii). Find the natural matrices of the linear transformations T o S
    and T^-1

    Sorry, I haven't done this topic in 3 months now, and this question came up and I'm really struggling to come up with a solution. I drew out a graph to try to visualise what the answer could be, but again nothing seemed to work out :/ I mean, I can generally do transformation of a point questions fine, but have never come across transforming a line, so any help would be much appreciated, thanks.
     
  2. jcsd
  3. Dec 16, 2012 #2
    Nevermind, I got a solution off a friend.
     
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