Answer
$-4$
Work Step by Step
We use one or a combination of theorems (11) to (15).
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Starting with
$D=\left|\begin{array}{lll}{x}&{y}&{z}\\{u}&{v}&{w}\\{1}&{2}&{3}\end{array}\right|$,
swapping rows 1 and 3, we obtain
$D_{1}=\left|\begin{array}{lll}{1}&{2}&{3}\\{u}&{v}&{w}\\{x}&{y}&{z}\end{array}\right|$
By theorem (11),
The value of a determinant changes sign if any two rows (or any two columns) are interchanged.
$D_{1}=-D=-4$