Question

find the value of each determinant

$\left|\begin{array}{cc}3& 4\\ 1& 3\end{array}\right|$

Short answer

$D=5$

Step-by-step solution

Step 1. The given information is

$\left|\begin{array}{cc}3& 4\\ 1& 3\end{array}\right|$

Step 2. Solving we get,

$$\begin{gathered} D=\left|\begin{array}{cc}a& b\\ c& d\end{array}\right| \\ D=ad-bc \\ D=\left|\begin{array}{cc}3& 4\\ 1& 3\end{array}\right| \\ D=9-4 \\ D=5 \end{gathered}$$