Find the value of the determinant.
-$\left| \begin{array} { l l l } 5 & 5 & 4 \ 9 & 7 & 3 \ 9 & 4 & 4 \end{array} \right|$
A) 911
B) $- 73$
C) $- 343$
D) 73

Question

Quizplus · Accepted Answer

The determinant of a 3x3 matrix $\left| \begin{array} { l l l } a & b & c \ d & e & f \ g & h & i \end{array} \right|$ is calculated as $a(ei - fh) - b(di - fg) + c(dh - eg)$. Substituting the given values, the determinant is $5(7*4 - 3*4) - 5(9*4 - 3*9) + 4(9*4 - 7*9) = 5(28 - 12) - 5(36 - 27) + 4(36 - 63) = 5*16 - 5*9 + 4*(-27) = 80 - 45 - 108 = -73$.

Find the Value of the Determinant ∣554973944∣\left| \begin{array} { l l l } 5 & 5 & 4 \\ 9 & 7 & 3 \\ 9 & 4 & 4 \end{array} \right|​599​574​434​​

Find the Value of the Determinant $\left| \begin{array} { l l l } 5 & 5 & 4 \\ 9 & 7 & 3 \\ 9 & 4 & 4 \end{array} \right|$