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Math Help - span law

  1. #1
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    span law

    k is a group of vectors
    W is a subspace.
    why if W \subseteqk then W \subseteqspan(k)
    ??
    span(k) is wider then k

    it contains all the combinations of k
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  2. #2
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    Quote Originally Posted by transgalactic View Post
    k is a group of vectors
    W is a subspace.
    why if W \subseteqk then W \subseteqspan(k)
    Are you sure you have copied this correctly? If W is a subset of k then it is trivially a subset of span(k) precisely because k itself is a subset of span(k). W\subseteq k\subseteq span(k)

    span(k) is wider then k

    it contains all the combinations of k
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