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

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Definitions:

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Labor-saving Equipment

Tools or machinery designed to reduce the amount of labor needed to perform a job, often leading to enhanced efficiency and lower labor costs.

Analytical Technique

Methods or procedures used to systematically analyze data or solve problems through logical reasoning and empirical evidence.