Use the properties of determinants to find the value of the second determinant, given the value of the first.
-$$\left| \begin{array} { c c c }
x & y & z \
u & v & w \
1 & 3 & - 2
\end{array} \right| = 14 \quad \left| \begin{array} { c c c }
1 & 3 & - 2 \
u & v & w \
x & y & z
\end{array} \right| = ?$$
A) 14
B) -14
C) 0
D) Cannot determine

Question

Use the properties of determinants to find the value of the second determinant, given the value of the first.
-$$\left| \begin{array} { c c c } 
x & y & z \
u & v & w \
1 & 3 & - 2
\end{array} \right| = 14 \quad \left| \begin{array} { c c c } 
1 & 3 & - 2 \
u & v & w \
x & y & z
\end{array} \right| = ?$$
A) 14
B) -14
C) 0
D) Cannot determine

Quizplus · Accepted Answer

Swapping two rows of a determinant changes its sign. Since the second determinant is obtained by swapping the first and third rows of the first determinant, its value is -14.

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