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Math Help - Vector Spaces

  1. #1
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    Vector Spaces

    I am struggling with the following question. I need to redefine a vector space in such a way that only four axioms are required. I think I have the four identified as follows:
    1. u + v is in V
    2. u + 0 = u
    3. u + -u = 0
    4. cu is in V

    Am I in the ball park here at all. I would appreciate any help

    thanks
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  2. #2
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    Quote Originally Posted by kdynamos View Post
    I am struggling with the following question. I need to redefine a vector space in such a way that only four axioms are required. I think I have the four identified as follows:
    1. u + v is in V
    2. u + 0 = u
    3. u + -u = 0
    4. cu is in V

    Am I in the ball park here at all. I would appreciate any help

    thanks
    I think you need to replace 3) by 1u = u. This is very important...
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