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Math Help - isomorphisms......

  1. #1
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    isomorphisms......

    a) X1=the set of all two by two matrices of the form
    (a 0; b a) where a and b belong to Z(mod 2)
    b) X2=the set of all two by two matrices of the form
    (a+b b; b a) where a and b belong to Z (mod 2)
    c) X3=the set of all two by two matrices of the form
    (a a+b; 0 b) where a and b belong to Z (mod 2)

    Which, if any, are isomorphic to each other...give isomorphisms or explain why not....
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by zhupolongjoe View Post
    a) X1=the set of all two by two matrices of the form
    (a 0; b a) where a and b belong to Z(mod 2)
    b) X2=the set of all two by two matrices of the form
    (a+b b; b a) where a and b belong to Z (mod 2)
    c) X3=the set of all two by two matrices of the form
    (a a+b; 0 b) where a and b belong to Z (mod 2)

    Which, if any, are isomorphic to each other...give isomorphisms or explain why not....
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