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Math Help - Linear transformation

  1. #1
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    Linear transformation

    Given that a linear transformation moves points (1,0) and (2,-3) to (2,-1) and (1,3), respectively, determine the image of point (-3,6).

    I don't get the first step to the solution.

    [Sol] Letting (-3,6) =k(1,0)+L(2,-3)

    k=1, L=-2

    How do you know what k and L is?
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  2. #2
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    Never mind, I got it. Simultaneous equations.
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  3. #3
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    Actually I still need help.

    I don't get the last step, how do you get (0,-7)?

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  4. #4
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    I found out again (it was so simple)

    They tell you what f(1,0) and f(2,-3) is.
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