# Span watch

1. 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.
2. (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.
3. 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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Updated: February 4, 2018
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