Q. 68 - Precalculus Enhanced with Graphing Utilities

Question

use a graphing utility to find the inverse, if it exists, of each matrix. Round answers to two decimal places.

$\left[\begin{array}{ccc}18& -3& 4\\ 6& -20& 14\\ 10& 25& -15\end{array}\right]$

Step-by-Step Solution

Answer

The inverse matrix is $\left[\begin{array}{ccc}-0.26& -0.29& -0.2\\ -1.21& 1.63& 1.2\\ -1.84& 2.53& 1.8\end{array}\right]$

Step 1.Given information

Given matrix  $\left[\begin{array}{ccc}18& -3& 4\\ 6& -20& 14\\ 10& 25& -15\end{array}\right]$

Step 2.inverse of the matrix

By using graph utility the inverse of the given matrix is $\left[\begin{array}{ccc}-0.26& -0.29& -0.2\\ -1.21& 1.63& 1.2\\ -1.84& 2.53& 1.8\end{array}\right]$

Step 3.The solution

The inverse matrix $\left[\begin{array}{ccc}-0.26& -0.29& -0.2\\ -1.21& 1.63& 1.2\\ -1.84& 2.53& 1.8\end{array}\right]$