Question

Use a graphing calculator to find the value of the following determinant.

$\left|\begin{array}{cc}3& -6.5\\ 8& 3.75\\ & \end{array}\right|$

Short answer

The value of the determinant is$63.25$.

Step-by-step solution

Step 1- Apply the concept of determinant.

the determinant is a scalar value that is a function of the entries of a square matrix. It allows characterizing some properties of the matrix and the linear map represented by the matrix.

Step 2-Step description.

Consider the determinant $\left|\begin{array}{cc}3& -6.5\\ 8& 3.75\\ & \end{array}\right|$.

Use a graphing calculator and find the value of the determinant as follows:

$\begin{array}{l}=3\left(3.75\right)-(-6.5)\left(8\right)\\ =63.25\end{array}$

Step 3- Step description.

Therefore, the value of the determinant is $63.25$.