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

question 147

Multiple Choice

Use the properties of determinants to find the value of the second determinant, given the value of the first.
- $$\left| \begin{array} { r r r } x & y & z \\u & v & w \\1 & - 1 & 3\end{array} \right| = - 51 \left| \begin{array} { c c c } 1 & - 1 & 3 \\2 u & 2 v & 2 w \\x - 1 & y + 1 & z - 3\end{array} \right| = ?$$

• A) -51
• B) -102
• C) 102
• D) 51

---

Definitions:

Local Governments

The administration of towns, cities, counties, and districts that provide services to their residents.

Dissolve

The process of formally ending an organization, institution, or partnership, making it no longer legally existent.

Federalism

A system of government in which power is divided between a central authority and constituent political units, like states.

Unitary

Relating to a system of government where the central government holds supreme power, with any regional governments existing solely to execute the central government's directives.