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:

Integration

The process of combining elements from different systems, organizations, or cultures into a coherent whole.

Task Forces

Temporary groups formed to address a specific problem, task, or project within an organization.

Integrators

Individuals or tools that combine or coordinate separate elements or resources into a cohesive and functional whole.

Vertically

In a direction or alignment that goes straight up or down, often used to describe hierarchical structures or arrangements.