Choose the one alternative that best completes the statement or answers the question.
Evaluate the determinant of the given matrix.
-$$A = \left[ \begin{array} { r r }
\log m & \log m \
2 & - 9
\end{array} \right]$$
A) $11 \log m$
B) $- 7 \log m$
C) $- 11 \log m$
D) $- 18 \log m$

Question

Choose the one alternative that best completes the statement or answers the question.
Evaluate the determinant of the given matrix.
-$$A = \left[ \begin{array} { r r } 
\log m & \log m \
2 & - 9
\end{array} \right]$$
A) $11 \log m$
B) $- 7 \log m$
C) $- 11 \log m$
D) $- 18 \log m$

Quizplus · Accepted Answer

The determinant of matrix A is calculated as $\det(A) = \log m \cdot (-9) - \log m \cdot 2 = -9\log m - 2\log m = -11\log m$.

Choose the One Alternative That Best Completes the Statement or Answers