Find the determinant of the matrix. $$\left[ \begin{array} { r r r }
38 & - 17 & 96 \
- 31 & 88 & - 33 \
48 & 10 & 14
\end{array} \right]$$
A) - 89,090
B) - 1,425,432
C) - 356,359
D) 356,358
E) - 356,358

Question

Find the determinant of the matrix. $$\left[ \begin{array} { r r r } 
38 & - 17 & 96 \
- 31 & 88 & - 33 \
48 & 10 & 14
\end{array} \right]$$
A) - 89,090
B) - 1,425,432
C) - 356,359
D) 356,358
E) - 356,358

Quizplus · Accepted Answer

The determinant of a 3x3 matrix $\begin{bmatrix} a & b & c \ d & e & f \ g & h & i \end{bmatrix}$ is calculated as $a(ei - fh) - b(di - fg) + c(dh - eg)$. Applying this formula to the given matrix results in a determinant of -356,358.

Find the Determinant of the Matrix [38−1796−3188−33481014]\left[ \begin{array} { r r r } 38 & - 17 & 96 \\- 31 & 88 & - 33 \\48 & 10 & 14\end{array} \right]​38−3148​−178810​96−3314​​

Find the Determinant of the Matrix $\left[ \begin{array} { r r r } 38 & - 17 & 96 \\- 31 & 88 & - 33 \\48 & 10 & 14\end{array} \right]$