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Math Help - Vector Space - Really Need Help

  1. #1
    Junior Member
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    Vector Space - Really Need Help

    Hi There I have a proof question that I cannot solve Please do help

    Let S be the set of functions of the form U= a1sinx ++ansin(nx), where a1,,an are real numbers, a U = (aa1)sinx + . + (aan)sinnx for a is real number
    and for V = b1sinx + +bnsinnx,

    U+V = (a1+b1)sinx++(an+bn)sinnx

    Show that S is a vector space
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  2. #2
    MHF Contributor

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    Re: Vector Space - Really Need Help

    What is the definition of "vector space"? Show that this satisfies that definition.
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