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Math Help - Isomorphic Groups

  1. #1
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    Isomorphic Groups

    Another question I dont get - I need to show that D & E are isomorphic
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  2. #2
    MHF Contributor kalagota's Avatar
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    how about showing that their dimensions are equal..
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  3. #3
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    How do i do that?
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  4. #4
    MHF Contributor kalagota's Avatar
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    What is a possible basis for D?

    Let M = \left[{\begin{array}{ccc} a & b & c \\ d & e & f \\ g & h & i  \end{array}}\right] where a,b,...,i \in \mathbb{Z}

    compute for TM. That TM is in E.

    based on TM, what is a possible basis for E.

    if number of basis elements of D = number of basis elements of E, then you are done..
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