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Find the image of a line

  1. Mar 20, 2013 #1
    Im stuck on this, the book has no examples on this kind of problem (and its the first one) And i learn mostly from examples

    Im on b) and i cant figure out gow to get the image of the line
    the back says the answer should be 9y1-4y2=6 and ive spent over a hour on this and im not seeing it
    IMG_20130320_115711_145_zps48df21c6.jpg
     
  2. jcsd
  3. Mar 20, 2013 #2

    Dick

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    The first step is to find an expression for x1 and x2 in terms of y1 and y2.
     
  4. Mar 20, 2013 #3
    the book shows how to do that but only with 2 equation and putting them in matrix form then getting the inverse, i only have 1 equation. For this case its not explained and no example is given
     
  5. Mar 20, 2013 #4

    Dick

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    I mean do it with the equations defining the linear transformation. There are two of those.
     
  6. Mar 20, 2013 #5
    ok i got
    x1=(3/2)y1-(1/2)y2

    x2=-2y1+y2
     
  7. Mar 20, 2013 #6

    Dick

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    Great! Now substitute those into the line equation. That will give you the image of the line.
     
  8. Mar 20, 2013 #7
    oooh ok thanks. why cant the book just say that!
     
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