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Homework Help: Homomorphism help

  1. Nov 3, 2008 #1
    1. The problem statement, all variables and given/known data

    let R* be the group of nonzero real numbers under multiplication. then the determinant mapping A-> det(A) is a homomorphism from GL(2,R) to R*. the kernel of the determinant mapping is SL(2,R).
    i am suppose to show that this is a homomorphism but i have no idea where to go and what to do

    2. Relevant equations
    det(AB) = det(A)det(B)

    3. The attempt at a solution
  2. jcsd
  3. Nov 3, 2008 #2


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    Science Advisor
    Homework Helper

    If you don't realize that det(AB)=det(A)det(B) basically proves that it is a homomorphism, you might want to look up the definition of homomorphism and think about it.
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