Write Y as an Affine Combination of the Other Points

question 33

Multiple Choice

Write y as an affine combination of the other points listed.
- $\mathbf { v } _ { 1 } = \left[ \begin{array} { l } 1 \\ 1 \\ 2 \end{array} \right] , \mathbf { v } _ { 2 } = \left[ \begin{array} { r } 0 \\ 4 \\ - 2 \end{array} \right] , \mathbf { v } _ { 3 } = \left[ \begin{array} { r } 1 \\ - 5 \\ 1 \end{array} \right] , \mathbf { y } = \left[ \begin{array} { r } 5 \\ - 23 \\ 16 \end{array} \right]$

• A) \(\mathbf { y } = 3 \mathbf { v } _ { 1 } - 4 \mathbf { v } _ { 2 } + 2 \mathbf { v } _ { 3 }\)
• B) \(\mathbf { y } = - 3 \mathbf { v } _ { 1 } - 2 \mathbf { v } _ { 2 } + 6 \mathbf { v } _ { 3 }\)
• C) \(\mathbf { y } = 2 \mathrm { v } _ { 1 } + 3 \mathrm { v } _ { 2 } - 4 \mathrm { v } _ { 3 }\)
• D) \(\mathbf { y } = 7 \mathbf { v } _ { 1 } + 3 \mathbf { v } _ { 2 } - 4 \mathbf { v } _ { 3 }\)

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Definitions:

Price Discrimination

A pricing strategy where a seller charges different prices for the same product or service to different consumers, based on factors like demand, market conditions, or consumer attributes.

Physically Separated

Refers to the distinct division or distance between entities or areas, often implying a lack of direct interaction or connection.

Price Discrimination

A pricing strategy where a company charges different prices for the same product or service to different customers, based on the willingness to pay.

Different Prices

The phenomenon where goods or services are sold at varying prices due to factors such as location, demand, or quality.