QuestionQuestion

Let V be a vector space and S = {v1, vn}. Then S is linearly independent if:
A. one of the vectors in the set S is nonzero.
                                                   →
B. whenever C1V1+... + CnVn= 0, then C1= ... =cn=0
                                                                                       →
C. there is a nontrivial solution for C1V1+ ... + cnvn = 0
D. one of the vectors in S can be written as a linear combination of the other vectors in the set.

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