Express the Vector X as a Linear Combination of the Uʹs

question 34

Multiple Choice

Express the vector x as a linear combination of the uʹs.
- $$\mathbf { u } _ { 1 } = \left[ \begin{array} { r } 2 \\- 4\end{array} \right] , \mathbf { u } _ { 2 } = \left[ \begin{array} { r } 12 \\6\end{array} \right] , \mathbf { x } = \left[ \begin{array} { c } 32 \\- 4\end{array} \right]$$

• A) \(\mathbf { x } = 4 \mathbf { u } _ { 1 } + 2 \mathbf { u } _ { 2 }\)
• B) \(\mathbf { x } = - 4 \mathbf { u } _ { 1 } - 2 \mathbf { u } _ { 2 }\)
• C) \(\mathbf { x } = 2 \mathbf { u } _ { 1 } + 4 \mathbf { u } _ { 2 }\)
• D) \(\mathbf { x } = 4 \mathbf { u } _ { 1 } - 2 \mathbf { u } _ { 2 }\)

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