## Algebra and Trigonometry 10th Edition

The determinant of a $2 \times 2$ matrix can be computed by using the formula $det =ps-qr$ where $det =\begin{bmatrix}p & q \\r & s\end{bmatrix}$ Considering the left side, we have: $det=zw-xy$ Now, we have $det=-(yx-zw)=zw-xy$ So, it can be seen that both sides are the same.