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Homework Help: Linear algebra - Quotient Group

  1. Mar 17, 2010 #1
    1. The problem statement, all variables and given/known data
    Let [tex]G[/tex] be subgroup of [tex]Z^2=Z \times Z[/tex] spanned by [tex](4,2), (6,-12)[/tex]. Compute quotient [tex]Z^2/G[/tex].


    2. Relevant equations



    3. The attempt at a solution
    I was under the impression that I am supposed to write the vectors as columns in a matrix, and then compute the Smith-Normal form. Doing so, I obtain a 2x2 identity matrix, and I am not sure how to interpret the two 1's. Thanks in advance.
     
  2. jcsd
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