Evaluate the determinant.
$\left| \begin{array} { l l l l }
2 & 9 & 3 & 6 \
8 & 9 & 4 & 4 \
2 & 4 & 6 & 5 \
2 & 7 & 7 & 2
\end{array} \right|$
A) -21
B) 1280
C) -12
D) -36

Question

Evaluate the determinant.
$\left| \begin{array} { l l l l } 
2 & 9 & 3 & 6 \
8 & 9 & 4 & 4 \
2 & 4 & 6 & 5 \
2 & 7 & 7 & 2
\end{array} \right|$
A)  -21 
B) 1280
C)  -12 
D)  -36

Quizplus · Accepted Answer

The determinant of the given 4x4 matrix can be calculated using various methods such as Laplace's expansion, which involves expanding the determinant along a row or a column and calculating the determinants of the resulting 3x3 matrices. The calculation is tedious but straightforward, and after performing the necessary computations, the determinant is found to be 1280.

Evaluate the Determinant ∣2936894424652772∣\left| \begin{array} { l l l l } 2 & 9 & 3 & 6 \\8 & 9 & 4 & 4 \\2 & 4 & 6 & 5 \\2 & 7 & 7 & 2\end{array} \right|​2822​9947​3467​6452​​

Evaluate the Determinant $\left| \begin{array} { l l l l } 2 & 9 & 3 & 6 \\8 & 9 & 4 & 4 \\2 & 4 & 6 & 5 \\2 & 7 & 7 & 2\end{array} \right|$