Write Y as an Affine Combination of the Other Points

Multiple Choice

Write y as an affine combination of the other points listed.
- $$\mathbf { v } _ { 1 } = \left[ \begin{array} { r } 3 \\- 2\end{array} \right] , \mathbf { v } _ { 2 } = \left[ \begin{array} { r } 1 \\- 1\end{array} \right] , \mathbf { v } _ { 3 } = \left[ \begin{array} { r } 9 \\- 1\end{array} \right] , \mathbf { y } = \left[ \begin{array} { l } 7 \\4\end{array} \right]$$

A) $\mathbf { y } = \mathbf { v } _ { 1 } - 2 \mathbf { v } _ { 2 } + 2 \mathbf { v } _ { 3 }$
B) $\mathbf { y } = - 5 \mathbf { v } _ { 1 } + 4 \mathbf { v } _ { 2 } + 2 \mathbf { v } _ { 3 }$
C) $\mathbf { y } = 4 \mathbf { v } _ { 1 } - 2 \mathbf { v } _ { 2 } - \mathbf { v } _ { 3 }$
D) $\mathbf { y } = 3 \mathbf { v } _ { 1 } + 3 \mathbf { v } _ { 2 } - 5 \mathbf { v } _ { 3 }$