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Math Help - Composite affine transformations, please help

  1. #1
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    Composite affine transformations, please help

    I have a affine transformation:

    f(x)=Ax+a where A is a 2x2 martix x and a are vectors

    and I also have the function

    g(x)=Bx + b where B is a 2x2 martix x is a vector


    how would I go about combining them (ie g o f) as in forming a composite would it be like this :


    Thanks in advance for any help.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by fair_lady0072002
    I have a affine transformation:

    f(x)=Ax+a where A is a 2x2 martix x and a are vectors

    and I also have the function

    g(x)=Bx + b where B is a 2x2 martix x is a vector


    how would I go about combining them (ie g o f) as in forming a composite would it be like this :


    Thanks in advance for any help.
    (g \circ f)(x)=g(f(x))=B(Ax+a)+b=BAx+Ba+b

    RonL
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