Find $| A |$ . $A = \left[ \begin{array} { c c }
- 4 & 0 \
0 & 6
\end{array} \right]$
A)-25
B)-26
C)-24
D)-23
E)-22

Name: Find $| A |$ . $A = \left[ \begin{array} { c c } - 4 & 0 \\ 0 & 6 \end{array} \right]$ A)-25 B)-26 C)-24 D)-23 E)-22
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Question

Find $| A |$ .   $A = \left[ \begin{array} { c c } 
- 4 & 0 \
0 & 6
\end{array} \right]$  
A)-25
B)-26
C)-24
D)-23
E)-22

Quizplus · Accepted Answer

The determinant of a 2x2 matrix $\left[ \begin{array} { c c } a & b \ c & d \end{array} \right]$ is calculated as $ad - bc$. For matrix $A$, $|A| = (-4)(6) - (0)(0) = -24$.

Find ∣A∣| A |∣A∣ A=[−4006]A = \left[ \begin{array} { c c } - 4 & 0 \\0 & 6\end{array} \right]A=[−40​06​]

Find $| A |$ $A = \left[ \begin{array} { c c } - 4 & 0 \\0 & 6\end{array} \right]$