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

Multiple Choice

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

A) $- 51$
B) $- 102$
C) 102
D) 51