Evaluate the determinant $\left| \begin{array} { l l }
9 & - 3 \
0 & - 4
\end{array} \right|$
A) 36
B) -96
C) 96
D) -36

Name: Evaluate the determinant $\left| \begin{array} { l l } 9 & - 3 \\ 0 & - 4 \end{array} \right|$ A) 36 B) -96 C) 96 D) -36
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Question

Evaluate the determinant $\left| \begin{array} { l l } 
9 & - 3 \
0 & - 4
\end{array} \right|$
A) 36
B) -96
C) 96
D) -36

Quizplus · Accepted Answer

The determinant of a 2x2 matrix $\left| \begin{array} { l l } a & b \ c & d \end{array} \right|$ is calculated as $ad - bc$. Here, $a = 9$, $b = -3$, $c = 0$, and $d = -4$. So, the determinant is $9 \times (-4) - (-3) \times 0 = -36$.

Evaluate the Determinant ∣9−30−4∣\left| \begin{array} { l l } 9 & - 3 \\0 & - 4\end{array} \right|​90​−3−4​​

Evaluate the Determinant $\left| \begin{array} { l l } 9 & - 3 \\0 & - 4\end{array} \right|$