Evaluate the determinant of the matrix below to determine which of the following makes the equation true. $\left| \begin{array} { c c }
w & - 4 x \
- 9 y & z
\end{array} \right| =$
A) $\left| \begin{array} { c c }
- w & 4 x \
- 9 y & z
\end{array} \right|$
B) $- \left | \begin{array} { c c }
- z & 4 x \
- 9 y & - w
\end{array} \right |$
C) $- \left | \begin{array} { c c }
w & - 4 x \
- 9 y & z
\end{array} \right |$
D) $- \left| \begin{array} { c c }
- 9 y & z \
w & - 4 x
\end{array} \right|$
E) $\left| \begin{array} { c c }
- z & 4 x \
- 9 y & w
\end{array} \right|$

Question

Evaluate the determinant of the matrix below to determine which of the following makes the equation true. $\left| \begin{array} { c c } 
w & - 4 x \
- 9 y & z
\end{array} \right| =$
A) $\left| \begin{array} { c c } 
- w & 4 x \
- 9 y & z
\end{array} \right|$
B) $- \left | \begin{array} { c c } 
- z & 4 x \
- 9 y & - w 
\end{array} \right |$
C) $- \left | \begin{array} { c c } 
w & - 4 x \
- 9 y & z
\end{array} \right |$
D) $- \left| \begin{array} { c c } 
- 9 y & z \
w & - 4 x
\end{array} \right|$
E) $\left| \begin{array} { c c } 
- z & 4 x \
- 9 y & w
\end{array} \right|$

Quizplus · Accepted Answer

By evaluating the determinant of the matrix, we get -9. Adding the hexadecimal digit of each answer choice in the fourth position, we get:
A) 8
B) 9
C) a
D) b
E) c
Comparing the fourth digits of the answer choices to the units digit of -9, we find that only choice D has a matching digit, therefore it is the correct choice.

Evaluate the Determinant of the Matrix Below to Determine Which ∣w−4x−9yz∣=\left| \begin{array} { c c } w & - 4 x \\- 9 y & z\end{array} \right| =​w−9y​−4xz​​=

Evaluate the Determinant of the Matrix Below to Determine Which $\left| \begin{array} { c c } w & - 4 x \\- 9 y & z\end{array} \right| =$