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

question 182

Multiple Choice

Use the properties of determinants to find the value of the second determinant, given the value of the first.
- $$\left| \begin{array} { r r r } \mathrm { x } & \mathrm { y } & \mathrm { z } \\\mathrm { u } & \mathrm { v } & \mathrm { w } \\1 & - 2 & - 4\end{array} \right| = 119 \left| \begin{array} { r r r } 1 & - 2 & - 4 \\\mathrm { u } & \mathrm { V } & \mathrm { w } \\\mathrm { x } & \mathrm { y } & \mathrm { z }\end{array} \right| = ?$$

• A) 119
• B) -119
• C) 0
• D) Cannot determine

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Definitions:

Electron-Transport Chain

A sequence of compounds facilitating electron flow from electron-donating entities to electron-accepting entities via redox processes, concurrently coupling this flow with proton (H+ ions) migration across a membrane.

ATP Molecules

Adenosine Triphosphate molecules, the primary energy carriers in cells.

MyPlate

A visual guide created by the USDA to help Americans eat a healthier diet, which emphasizes the importance of proportioning different food groups on a plate.

USDA

United States Department of Agriculture, an agency overseeing food safety, agriculture, and related issues.