Is the given set of vectors a vector space? Give reasons. If your answer is yes, determine

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Is the given set of vectors a vector space? Give reasons. If your answer is yes, determine the dimension and find a basis. (v1, v2, · · · denote components.)

All vectors in R3 with 3v1 - 2v2 + v3 = 0, 4v1 + 5v2 = 0

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