Evaluate the determinant.
$\left| \begin{array} { l l l l }
3 & 8 & 9 & 7 \
3 & 9 & 9 & 8 \
9 & 0 & 0 & 4 \
1 & 1 & 3 & 2
\end{array} \right|$
A) 36
B) 9
C) -3
D) -108

Question

Evaluate the determinant.
$\left| \begin{array} { l l l l } 
3 & 8 & 9 & 7 \
3 & 9 & 9 & 8 \
9 & 0 & 0 & 4 \
1 & 1 & 3 & 2
\end{array} \right|$
A) 36
B) 9
C) -3
D) -108

Quizplus · Accepted Answer

To evaluate the determinant of a 4x4 matrix, one can use the method of expansion by minors or convert the matrix to an upper triangular form and multiply the diagonal elements. However, without performing the detailed calculation here, the correct answer is obtained through the calculation process, which results in -108.

Evaluate the Determinant ∣3897399890041132∣\left| \begin{array} { l l l l } 3 & 8 & 9 & 7 \\3 & 9 & 9 & 8 \\9 & 0 & 0 & 4 \\1 & 1 & 3 & 2\end{array} \right|​3391​8901​9903​7842​​

Evaluate the Determinant $\left| \begin{array} { l l l l } 3 & 8 & 9 & 7 \\3 & 9 & 9 & 8 \\9 & 0 & 0 & 4 \\1 & 1 & 3 & 2\end{array} \right|$