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Math Help - Linear Algebra Help Needed

  1. #1
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    Linear Algebra Help Needed

    Hi

    Can anybody help me with this question?:

    "Show that for every vector space V and every element v E V the opposite element is unique: if v + x = x + v = 0 and v + y = y + v = 0, then x = y"

    Any help appreciated.

    Cheers.
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  2. #2
    MHF Contributor
    Opalg's Avatar
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    (Just to get you started) you know that v+x = v+y. Therefore x+(v+x) = x+(v+y).
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  3. #3
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    thanks very much
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