Q. 69 - 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.

$\left[\begin{array}{cccc}44& 21& 18& 6\\ -2& 10& 15& 5\\ 21& 12& -12& 4\\ -8& -16& 4& 9\end{array}\right]$

Step-by-Step Solution

Answer

The inverse matrix is $\left[\begin{array}{cccc}0.02& -0.04& -0.01& 0.01\\ -0.02& 0.05& 0.03& -0.03\\ 0.02& 0.01& -0.04& 0.00\\ -0.02& 0.06& 0.07& 0.06\end{array}\right]$

Step 1.Given information

Given matrix $\left[\begin{array}{cccc}44& 21& 18& 6\\ -2& 10& 15& 5\\ 21& 12& -12& 4\\ -8& -16& 4& 9\end{array}\right]$

Step 2.Find the inverse matrix

By using graph utility inverse matrix of given matrix .

$\left[\begin{array}{cccc}0.02& -0.04& -0.01& 0.01\\ -0.02& 0.05& 0.03& -0.03\\ 0.02& 0.01& -0.04& 0.00\\ -0.02& 0.06& 0.07& 0.06\end{array}\right]$

Step 3.he solution

The inverse matrix is $\left[\begin{array}{cccc}0.02& -0.04& -0.01& 0.01\\ -0.02& 0.05& 0.03& -0.03\\ 0.02& 0.01& -0.04& 0.00\\ -0.02& 0.06& 0.07& 0.06\end{array}\right]$