Use the Properties of Determinants to Find the Value of the Second

question 104

Multiple Choice

Use the properties of determinants to find the value of the second determinant, given the value of the first.
-Given $\left| \begin{array} { l l l } \mathrm { s } & \mathrm { t } & \mathrm { u } \\ \mathrm { v } & \mathrm { w } & \mathrm { x } \\ 4 & 2 & 8 \end{array} \right| = 3$ , find the value of $\left| \begin{array} { c c c } 32 - \mathrm { s } & 16 - \mathrm { t } & 64 - \mathrm { u } \\ \mathrm { v } & \mathrm { w } & \mathrm { x } \\ 4 & 2 & 8 \end{array} \right|$

• A) \(- 24\)
• B) \(- 3\)
• C) 3
• D) 24

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Definitions:

Indifference Curves

Graphical representations of combinations of two goods between which a consumer is indifferent, showcasing the consumer's preferences.

Price of X

The specific cost associated with purchasing a particular good or service, referred to as "X."

Demand for Y

The desire and willingness of consumers to purchase a specific quantity of a good 'Y' at various prices during a certain period.

Utility Function

A mathematical representation of how a consumer ranks different bundles of goods based on the level of satisfaction (utility) they provide.