Chapter 8.4, Problem 23E

To determine

To find:The determinant of the matrix $\left[\begin{array}{cc}3& 4\\ -2& 1\end{array}\right]$ using graphing utility.

Answer to Problem 23E

Thedeterminant of the matrix $\left[\begin{array}{cc}3& 4\\ -2& 1\end{array}\right]$ is 11.

Explanation of Solution

Given information:The given matrix is

  $\left[\begin{array}{cc}3& 4\\ -2& 1\end{array}\right]$ .

Calculation:

Consider the given matrix.

  $A=\left[\begin{array}{cc}3& 4\\ -2& 1\end{array}\right]$

Press “ON” button on graphical calculator. First enter the matrix to the calculator. Enter the keystrokes.

  $\boxed{2\text{nd}}\to \boxed{\text{MATRX}}\to \boxed{\text{EDIT}}\to \boxed{\left[\text{A}\right]}$

Enter the dimensions and elements of the matrix $2\times 2$ as shown below in the figure.

  

Now, return to the home screen by using the keystrokes.

  $\boxed{2\text{nd}}\to \boxed{\text{MODE}}$

To find the determinant press the keystrokes as:

  $\boxed{2\text{nd}}\to \boxed{\text{MATRX}}\to \boxed{\text{MATH}}\to \boxed{\det (}\to \boxed{\text{ENTER}}$

Select the matrix in which to find the determinant by keystrokes.

  $\boxed{2\text{nd}}\to \boxed{\text{MATRX}}\to \boxed{\text{NAMES}}\to \boxed{\left[\text{A}\right]}\to \boxed{)}\to \boxed{\text{ENTER}}$

The determinant of the given matrix is as shown below on the screen.

  

Therefore, thedeterminant of the matrix $\left[\begin{array}{cc}3& 4\\ -2& 1\end{array}\right]$ is 11.