Evaluate.
-$$\left| \begin{array} { r r r }
0 & 0 & 9 \
6 & - 7 & 9 \
0 & 3 & 3
\end{array} \right|$$
A) $- 162$
B) 162
C) 141
D) $- 183$

Question

Evaluate.
-$$\left| \begin{array} { r r r } 
0 & 0 & 9 \
6 & - 7 & 9 \
0 & 3 & 3
\end{array} \right|$$
A) $- 162$
B) 162
C) 141
D) $- 183$

Quizplus · Accepted Answer

Expanding along the first column gives:
$$0 \left| \begin{array} { r r } 
- 7 & 9 \
3 & 3 
\end{array} \right| - 6 \left| \begin{array} { r r } 
3 & 3 \
0 & 3 
\end{array} \right| + 0 \left| \begin{array} { r r } 
- 7 & - 7 \
3 & 3 
\end{array} \right| = - 6(9) = - 54$$
So, $\left| \begin{array} { r r r } 
0 & 0 & 9 \
6 & - 7 & 9 \
0 & 3 & 3
\end{array} \right| = 54$, yielding choice (B).

Evaluate - ∣0096−79033∣\left| \begin{array} { r r r } 0 & 0 & 9 \\6 & - 7 & 9 \\0 & 3 & 3\end{array} \right|​060​0−73​993​​

Evaluate
- $\left| \begin{array} { r r r } 0 & 0 & 9 \\6 & - 7 & 9 \\0 & 3 & 3\end{array} \right|$