Suppose we have a set of vectors S = {V1, V2, V3} CR4. Which one of the following is a true statement? (a) S will be a basis for R4 if the vectors in S are linearly independent. (b) S will be a basis for R4 as long as it is possible to write v3 as a liner combination of v₁ and v2, i.e., v3 = C₁v+1+C₂V2. (c) S cannot be a basis for R4 because 3 vectors cannot span Rª. (d) S will be a basis for R4 only if one of the vectors is the zero vector. (e) S cannot be a basis for R4 because 3 vectors cannot be linearly independent in R4.

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