SOLUTION: Let x, y, z be three vectors in vector space V.give a definition of span(x,y, z) in set notation

Question 1181179: Let x, y, z be three vectors in vector space V.give a definition of span(x,y, z) in set notation
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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    span(x,y,z) = { ax + by + cz |  for all coefficients "a", "b" and "c" of the base field }.    ANSWER


In wording form,  span(x, y, z)  is the set of all linear combinations of the vectors x, y and z 


with coefficients  "a",  "b"  and  "c"  from the base field.

Solved, answered and carefully explained.

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