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Math Help - homomorphism :))

  1. #1
    Junior Member
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    Oct 2009
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    Wink homomorphism :))

    Suppose GL(n,\mathbb{R}) is a multiplicative group of invertible matrix ( nx n). Let \mathbb{R} be an additive group of real numbers. Given g:GL(n,\mathbb{R})\rightarrow\mathbb{R} with g(A)=tr(A).
    Is g homomorphism? If yes then prove it!
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  2. #2
    Super Member
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    You should really be able to solve these by yourself!

    For g to be a homomorphism, we need that for every A,B \in GL_n(\mathbb{R}), tr(A)tr(B) = tr(AB)

    I'll leave the rest for you.
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