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Math Help - How to show, this is not vector space

  1. #1
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    Exclamation How to show, this is not vector space

    The set of all vectors V = [v_1 , v_2 , v_3 , v_4] R^4 with v_1+v_2=0 and v_3-v_4=1 is not a vector space.
    How can I begin this? I know all 9 properties of vector space, but how to show the proof.
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  2. #2
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    How about the axiom that a vector space has an identity element of addition, zero vector?
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