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

Name: Evaluate $2 \times 2$ determinant. \[\left| \begin{array} { c c } 4 & - 7 \\ 9 & - 4 \end{array} \right|\]
Brand: Quizplus
Rating: 4.8 (41 reviews)

Question

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

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