2. Find a subset of the vectors that is a basis for the space spanned by these vectors. v₁ = (1,0,1,1), v₂ = (−3,3,7,1), V3 = (-1,3,9,3), v4=(−5,3,5,−1) Find the rank and nullity of the matrix; then verify that the values obtained satisfy the Dimension Theorem. 1 -1 3 A 5 -4 -4 7-6 2

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