The vectors ~={]-=[B]-=[C]~-[&] -=[] V3 and v5 -2 8 V₁ 2 1 V₂ V4 -17 generate R³. Find a subset of {v₁, V2, V3, V4, V5} that is a basis for R³. Make sure to justify that your set is indeed a basis for R³.

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