Evaluate the determinant.
-$$\left| \begin{array} { l l l l }
7 & 8 & 6 & 2 \
7 & 1 & 1 & 8 \
6 & 3 & 8 & 2 \
3 & 1 & 7 & 5
\end{array} \right|$$
A) $- 1479$
B) 16
C) 46
D) $- 4$

Question

Evaluate the determinant.
-$$\left| \begin{array} { l l l l } 
7 & 8 & 6 & 2 \
7 & 1 & 1 & 8 \
6 & 3 & 8 & 2 \
3 & 1 & 7 & 5
\end{array} \right|$$
A) $- 1479$
B) 16
C) 46
D) $- 4$

Quizplus · Accepted Answer

The determinant of a 4x4 matrix can be calculated using various methods such as expansion by minors or using software tools like MATLAB or Python libraries. The calculation is complex and tedious to do by hand for this example, but when computed correctly, the determinant of the given matrix is $-1479$.

Evaluate the Determinant ∣7862711863823175∣\left| \begin{array} { l l l l } 7 & 8 & 6 & 2 \\7 & 1 & 1 & 8 \\6 & 3 & 8 & 2 \\3 & 1 & 7 & 5\end{array} \right|​7763​8131​6187​2825​​

Evaluate the Determinant $\left| \begin{array} { l l l l } 7 & 8 & 6 & 2 \\7 & 1 & 1 & 8 \\6 & 3 & 8 & 2 \\3 & 1 & 7 & 5\end{array} \right|$