Find the determinant of the given matrix.
-$\left[ \begin{array} { l l l } 1 & 7 & 0 \ 5 & 6 & 2 \ 5 & 5 & 7 \end{array} \right]$
A) $- 283$
B) 367
C) $- 143$
D) 143

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 $1(6*7 - 2*5) - 7(5*7 - 2*5) + 0(5*5 - 5*6) = 1(42 - 10) - 7(35 - 10) = 1*32 - 7*25 = 32 - 175 = -143$.

Find the Determinant of the Given Matrix [170562557]\left[ \begin{array} { l l l } 1 & 7 & 0 \\ 5 & 6 & 2 \\ 5 & 5 & 7 \end{array} \right]​155​765​027​​

Find the Determinant of the Given Matrix $\left[ \begin{array} { l l l } 1 & 7 & 0 \\ 5 & 6 & 2 \\ 5 & 5 & 7 \end{array} \right]$