Answer Happy

2 7 40 3 3 Let v₁ = 1 1 3 V₂ = 1 V3 2 and w= Is w in the subspace spanned by {v₁, V₂, V3}? Why? 1 Choose the correct answer below. 8 ... O A. Vector w is not in the subspace spanned by {V₁, V2, V3} because the equation X₁ V₁ + X₂V₂ + X3 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. B. 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 + X3V3 =W is not a pivot column. OC. Vector w is in the subspace spanned by {V₁, V2, V3} because w is a linear combination of V₁, V₂, and V3- D. Vector w is in the subspace spanned by {V₁, V₂, V3} because the subspace generated by V₁, V2, and v3 is R³