Q51. - Algebra 2

Question

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

 

$\left|\begin{array}{cc}1.3& 7.2\\ 6.1& 5.4\\ & \end{array}\right|$

Step-by-Step Solution

Answer

The value of the determinant is $-36.9$.

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 $\left|\begin{array}{cc}1.3& 7.2\\ 6.1& 5.4\\ & \end{array}\right|$.

 

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

 

 $\begin{array}{l}=1.3\left(5.4\right)-\left(7.2\right)\left(6.1\right)\\ =-36.9\end{array}$

Step 3- Step description.

Therefore, the value of the determinant is$-36.9$.