Find the value of the determinant.
$$\left| \begin{array} { r r r }
5 & 4 & 3 \
0 & 4 & 1 \
- 5 & 0 & 4
\end{array} \right|$$
A) -120
B) 120
C) 160
D) 0

Question

Find the value of the determinant.
$$\left| \begin{array} { r r r } 
5 & 4 & 3 \
0 & 4 & 1 \
- 5 & 0 & 4
\end{array} \right|$$
A)  -120 
B) 120
C) 160
D) 0

Quizplus · Accepted Answer

The determinant of the given matrix can be calculated using the formula for a 3x3 matrix: $$det(A) = a(ei - fh) - b(di - fg) + c(dh - eg)$$. Substituting the values from the matrix, we get: $5(4*4 - 0*1) - 4(0*4 - (-5)*1) + 3((-5)*0 - 4*4) = 5(16) - 4(-5) - 3(16) = 80 + 20 - 48 = 120$.

Find the Value of the Determinant ∣543041−504∣\left| \begin{array} { r r r } 5 & 4 & 3 \\0 & 4 & 1 \\- 5 & 0 & 4\end{array} \right|​50−5​440​314​​

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