Solved: Let S = {VI , \ '2 ... v.] be a set of nonzero vectors in a vector space V such

Chapter 4, Problem 44

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Let S = {VI , \ '2 ... v.] be a set of nonzero vectors in a vector space V such thai every vector in V can be \\,;tten in one and only one way as a linear combination of the 36. Prove that the vector space I' of all polynomi- vectors in S. Prove that S is a basis for V.

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