Determine If the Set of Points Is Affinely Dependent A) the Set Is Affinely Dependent

question 34

Multiple Choice

Determine if the set of points is affinely dependent. If so, construct an affine dependence relation for the points.
- $$\left[ \begin{array} { l } 4 \\8\end{array} \right] , \left[ \begin{array} { l } 8 \\4\end{array} \right] , \left[ \begin{array} { l } 5 \\7\end{array} \right]$$

• A) The set is affinely dependent. \(3 \left[ \begin{array} { l } 4 \\ 8 \end{array} \right] - \left[ \begin{array} { l } 8 \\ 4 \end{array} \right] + 4 \left[ \begin{array} { l } 5 \\ 7 \end{array} \right] = \left[ \begin{array} { l } 0 \\ 0 \end{array} \right]\)
• B) The set is affinely independent.
• C) The set is affinely dependent. \(3 \left[ \begin{array} { l } 1 \\ 2 \end{array} \right] + \left[ \begin{array} { l } 2 \\ 1 \end{array} \right] - \left[ \begin{array} { l } 5 \\ 7 \end{array} \right] = \left[ \begin{array} { l } 0 \\ 0 \end{array} \right]\)
• D) The set is affinely dependent. \(3 \left[ \begin{array} { l } 4 \\ 8 \end{array} \right] + \left[ \begin{array} { l } 8 \\ 4 \end{array} \right] - 4 \left[ \begin{array} { l } 5 \\ 7 \end{array} \right] = \left[ \begin{array} { l } 0 \\ 0 \end{array} \right]\)

---

Definitions:

Indirect Competition

Competition among businesses that aren't direct rivals but offer substitute products or services.

Alternate Solutions

Approaches or methods that differ from the original way to solve a problem or achieve a goal.

Yoplait

A global brand of yogurt produced by Yoplait, known for its wide range of flavoured dairy products.

Consumer Bias

The predispositions or subjective preferences that influence a consumer's purchasing behavior, often leading to irrational or suboptimal decision-making.