Is the given set, taken with the usual addition and scalar multiplication, a vector space? Give reason.

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Is the given set, taken with the usual addition and scalar multiplication, a vector space? Give reason. If your answer is yes, find the dimension and a basis.

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

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