Find a subset of the vectors v₁ = (0,2,2,4), v₂ = (1, 0,-1,-3), v₃ = (2,3, 1, 1) and v₄ = (-2, 1, 3, 2) that forms a basis for

Question

Find a subset of the vectors v₁ = (0,2,2,4), v₂ = (1, 0,-1,-3), v₃ = (2,3, 1, 1) and v₄ = (-2, 1, 3, 2) that forms a basis for the space spanned by these vectors. Explain clearly.

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