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:

Period Cost

Costs that are expensed in the period in which they are incurred, not directly tied to the production process.

Manufacturing Overhead

All manufacturing costs that are not direct materials or direct labor, including indirect materials, indirect labor, and other production-related expenses.

Prime Cost

The combined cost of direct materials and direct labor that are directly involved in the manufacturing of a product.

Direct Labour

The expenses related to workers who are directly engaged in creating products or services.