Find the Barycentric Coordinates of P with Respect to the Affinely

question 7

Multiple Choice

Find the barycentric coordinates of p with respect to the affinely independent set of points that precedes it.
- $\left[ \begin{array} { r } 1 \\ - 1 \\ 2 \\ 1 \end{array} \right] , \left[ \begin{array} { l } 2 \\ 1 \\ 0 \\ 1 \end{array} \right] , \left[ \begin{array} { r } 1 \\ 2 \\ - 2 \\ 0 \end{array} \right] , \mathbf { p } = \left[ \begin{array} { r } - 1 \\ - 11 \\ 14 \\ 3 \end{array} \right]$

• A) \(( 4 , - 1 , - 2 )\)
• B) \(( 5,0 , - 4 )\)
• C) \(( 5 , - 2 , - 2 )\)
• D) \(( 2 , - 2,1 )\)

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Definitions:

Equilibrium

A state where market supply and demand balance each other, and as a result, prices become stable.

Consumer's Money Income

The total amount of income a consumer has available to spend and save after taxes have been deducted.

Budget Line

A graphical representation of all possible combinations of two goods which can be purchased with a given budget at specific prices.

Equilibrium Position

A situation in which the supply and demand in the market are equal, leading to stable prices.