Find the determinant of the given matrix.
-$\left[ \begin{array} { l l l } 9 & 4 & 2 \ 7 & 2 & 3 \ 9 & 4 & 3 \end{array} \right]$
A) $- 226$
B) 446
C) 10
D) $- 10$

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 $a(ei - fh) - b(di - fg) + c(dh - eg)$. Applying this formula to the given matrix, we get $9(2*3 - 4*3) - 4(7*3 - 9*3) + 2(7*4 - 9*2) = 9(6 - 12) - 4(21 - 27) + 2(28 - 18) = 9(-6) + 4(6) + 2(10) = -54 + 24 + 20 = -10$.

Find the Determinant of the Given Matrix [942723943]\left[ \begin{array} { l l l } 9 & 4 & 2 \\ 7 & 2 & 3 \\ 9 & 4 & 3 \end{array} \right]​979​424​233​​

Find the Determinant of the Given Matrix $\left[ \begin{array} { l l l } 9 & 4 & 2 \\ 7 & 2 & 3 \\ 9 & 4 & 3 \end{array} \right]$