Question: Is the given set of vectors a vector space? Give reasons. If your answer is yes, determine the dimension and find a basis. (v 1

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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