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Math Help - Subspace

  1. #1
    Neo
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    Subspace

    Prove that the following subset S of Z_{2}~^5 is a subspace of Z_{2}~^5. The subset S consists of all vectors with an even number of 1s, e.g. (1,0,1,0,0) and (0,0,0,0,0) are both in S while (1,0,1,0,1) is not in S.

    Note: Z_{2} = mod 2 or binary system
    Last edited by Neo; April 23rd 2009 at 09:43 PM. Reason: Re-wrote using latex
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