Chapter 11, Problem 26RE

To determine

To find: The value of determinant.

Answer to Problem 26RE

The value of determinant is $5$ .

Explanation of Solution

Given information:

The determinant is $\left|\begin{array}{cc}3& 4\\ 1& 3\end{array}\right|$ .

Calculation:

Consider the determinant.

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

The formula for solving the determinant is,

  $\begin{array}{c}D=\left|\begin{array}{cc}a& b\\ c& d\end{array}\right|\\ =ad-bc\end{array}$

Solve the determinant using above formula.

  $\begin{array}{c}\left|\begin{array}{cc}3& 4\\ 1& 3\end{array}\right|=3\left(3\right)-\left(4\right)\left(1\right)\\ =9-4\\ =5\end{array}$

Therefore, the value of determinant is $5$ .