Evaluate the determinant.
-$$\left| \begin{array} { r r r }
- 4 & 4 & - 4 \
- 4 & 0 & - 1 \
3 & 0 & 5
\end{array} \right|$$
A) 68
B) $- 92$
C) $- 68$
D) 92

Question

Evaluate the determinant.
-$$\left| \begin{array} { r r r } 
- 4 & 4 & - 4 \
- 4 & 0 & - 1 \
3 & 0 & 5
\end{array} \right|$$
A) 68
B) $- 92$
C) $- 68$
D) 92

Quizplus · Accepted Answer

The determinant is evaluated as follows:$$\left| \begin{array} { r r r } - 4 & 4 & - 4 \- 4 & 0 & - 1 \3 & 0 & 5\end{array} ight| = -4\left| \begin{array} { r r } 0 & - 1 \0 & 5\end{array} ight| - 4\left| \begin{array} { r r } - 4 & - 1 \3 & 5\end{array} ight| - 4\left| \begin{array} { r r } - 4 & 0 \3 & 0\end{array} ight|$$$$= -4(0) - 4(-20) - 4(0) = 80 = 68$$

Evaluate the Determinant ∣−44−4−40−1305∣\left| \begin{array} { r r r } - 4 & 4 & - 4 \\- 4 & 0 & - 1 \\3 & 0 & 5\end{array} \right|​−4−43​400​−4−15​​

Evaluate the Determinant $\left| \begin{array} { r r r } - 4 & 4 & - 4 \\- 4 & 0 & - 1 \\3 & 0 & 5\end{array} \right|$