Write Y as an Affine Combination of the Other Points

question 4

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) \(\mathbf { y } = 3 \mathbf { v } _ { 1 } + 3 \mathbf { v } _ { 2 } - 5 \mathbf { v } _ { 3 }\)

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