Evaluate $2 \times 2$ determinant. $$\left| \begin{array} { c c }
4 & - 7 \
9 & - 4
\end{array} \right|$$
A) 47
B) 59
C) 53

Name: Evaluate $2 \times 2$ determinant. \[\left| \begin{array} { c c } 4 & - 7 \\ 9 & - 4 \end{array} \right|\] A) 47 B) 59 C) 53
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Question

Evaluate $2 \times 2$ determinant. $$\left| \begin{array} { c c } 
4 & - 7 \
9 & - 4
\end{array} \right|$$
A) 47
B) 59
C) 53

Quizplus · Accepted Answer

The determinant of a $2 \times 2$ matrix $\left| \begin{array} { c c } a & b \ c & d \end{array} \right|$ is calculated as $ad - bc$. For this matrix, it is $4 \times (-4) - (-7) \times 9 = -16 + 63 = 47$.

Evaluate 2×22 \times 22×2 Determinant ∣4−79−4∣\left| \begin{array} { c c } 4 & - 7 \\9 & - 4\end{array} \right|​49​−7−4​​

Evaluate $2 \times 2$ Determinant $\left| \begin{array} { c c } 4 & - 7 \\9 & - 4\end{array} \right|$