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    I wondering why {(1,2,0),(3,4,0),(5,6,0),(7,8,0) } does not span.....

    My teacher said it is because the last entry is 0, but I don't understand.
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    (Original post by Moon_moon)
    I wondering why {(1,2,0),(3,4,0),(5,6,0),(7,8,0) } does not span.....

    My teacher said it is because the last entry is 0, but I don't understand.
    Span what space exactly? A set of vectors form a linear spanning set in a vector space, if every element in the subspaces can be written as a linear combination of the vectors in those set.
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    if the space is all triples of integers then you cannot for instance make (1,2,5) by combining the elements above.
 
 
 

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