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Math Help - [SOLVED] fog is a linear transformation, is f and g?

  1. #1
    Lok
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    [SOLVED] fog is a linear transformation, is f and g?

    Hello,

    I'm struggling trying to see if f and g are linear transformation when fog is a linear transformation.

    fog a linear transformation =>? f and g are linear transformations

    Let's say g
    (x,y) |-> (x+2,y)

    and f
    (x,y) |-> (x-2,y)

    fog will be a linear transformation but not f and g... right?
    I'm not sure to have the correct definition of what is linear.

    Thanks (:
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  2. #2
    Member Ruun's Avatar
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    An application is said to be linear if f( \alpha x + \beta y ) = \alpha f(x) + \beta f(y)
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  3. #3
    Lok
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    Allright, so it's correct.
    Last edited by Lok; April 13th 2009 at 07:34 PM.
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