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Math Help - span and dimension

  1. #1
    n22
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    span and dimension

    Hello,
    I am not sure what to do with the zero vector in this question..thanks.
    find a basis for Span(X), and say whether or not Span(X) is equal to
    the vector space R^n of which X is a subset.

    x={(1 2 3),(4 5 6),(0 0 0) which is a subset of R^3


    what does one do with the (0 0 0) vector ? is it a multiple of something ?



    please note ..each bracketed item represents a column vector not a row vector..
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  2. #2
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    Re: span and dimension

    Quote Originally Posted by n22 View Post
    Hello,
    I am not sure what to do with the zero vector in this question..thanks.
    find a basis for Span(X), and say whether or not Span(X) is equal to
    the vector space R^n of which X is a subset.

    x={(1 2 3),(4 5 6),(0 0 0) which is a subset of R^3


    what does one do with the (0 0 0) vector ? is it a multiple of something ?



    please note ..each bracketed item represents a column vector not a row vector..
    The zero vector does nothing for you as it is already in the space spanned by the other two.

    That is: Span(x)=Span({(1 2 3),(4 5 6)})

    .
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