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OpenStudy (usukidoll):
Show that any set of functions containing the function identically zero is linearly dependent.
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OpenStudy (usukidoll):
If a set S =[v1,...,vp] in R^n contains the zero vector, the the set is linearly dependent. By renumbering the vectors, we may assume that v1=0 and the equation 1v1+0v2+...+0vp=0 shows that S is linearly dependent.
OpenStudy (usukidoll):
The number of vectors doesn't exceed the number of entries in each vector and since there is a zero vector in a set, it's linearly dependent
OpenStudy (usukidoll):
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