Let V₁ = 0 V₂ 2 3 V3 Choose the correct answer below 12 3 and w= 9 Is w in the subspace spanned by {V₁, V₂, V3}? Why? OA. Vector w is in the subspace spanned by (v₁, V₂, V3) because w is a linear combination of V₁, V₂, and V3 OB. Vector w is not in the subspace Span(v₁, V₂ V3) because the rightmost column of the augmented matrix of the system X₁V₁ + X2V₂+X3V3=w is not a pivot column OC. Vector w is not in the subspace spanned by (V₁, V₂, V3) because the equation X₁V₁+X2V₂+X3V3 = w has no solution which can be seen because an echelon form of the augmented matrix of the system has a row of the form [0 0 b] with b #0. OD. Vector w is in the subspace spanned by (v₁, V₂ V3) because the subspace generated by V₁, V₂, and V3 is R³

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