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

question 50

Multiple Choice

Use the properties of determinants to find the value of the second determinant, given the value of the first.
- $$\left| \begin{array} { c c c } x & y & z \\u & v & w \\1 & 2 & - 3\end{array} \right| = 118 \left| \begin{array} { c c c } x - 3 & y - 6 & z + 9 \\- 3 u - 1 & - 3 v - 2 & - 3 w + 3 \\1 & 2 & - 3\end{array} \right| = ?$$

• A) 118
• B) -118
• C) 354
• D) -354

---

Definitions:

Claim Copyright

The act of declaring ownership over an original work to protect it from unauthorized use under copyright law.

Photograph

An image produced through the capture of light on a light-sensitive material or an electronic sensor.

Writing

The act or process of composing text or content for various purposes, including communication, documentation, and records.

Union Convention

A meeting or assembly of representatives from a union, typically held to discuss and decide upon policies, strategies, and collective bargaining positions.