Let V₁ = 1 -1 3 4 Choose the correct answer below. 11 10 and w= 4 1 9 Is w in the subspace spanned by {V₁. V₂, V3}? Why? O A. Vector w is not in the subspace spanned by {V₁, V₂, V3} because the equation x₁ V₁ +X₂V₂ + X₂ V3 = 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. Vector w is in the subspace spanned by {V₁, V₂, V3} because w is a linear combination of V₁, V₂, and V3- 11 1 O B. O C. Vector w is not in the subspace Span{V₁, V₂, V3} because the rightmost column of the augmented matrix of the system X₁ V₁ + X₂V₂ + X₂ V3 =W is not a pivot column. D. 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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