Q. 70 - 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.

$\left[\begin{array}{cccc}16& 22& -3& 5\\ 21& -17& 4& 8\\ 2& 8& 27& 30\\ 5& 15& -3& -10\end{array}\right]$

Step-by-Step Solution

Answer

The inverse matrix is $\left[\begin{array}{cccc}0.01& 0.03& -0.00& 0.03\\ 0.02& -0.02& 0.01& 0.01\\ -0.04& 0.01& 0.04& 0.06\\ 0.05& -0.02& -0.00& -0.09\end{array}\right]$

Step 1.Given information

Given matrix is $\left[\begin{array}{cccc}16& 22& -3& 5\\ 21& -17& 4& 8\\ 2& 8& 27& 30\\ 5& 15& -3& -10\end{array}\right]$

Step 2.Find inverse matrix

By using graph utility inverse matrix  is $\left[\begin{array}{cccc}0.01& 0.03& -0.00& 0.03\\ 0.02& -0.02& 0.01& 0.01\\ -0.04& 0.01& 0.04& 0.06\\ 0.05& -0.02& -0.00& -0.09\end{array}\right]$

Step 3.The solution

The inverse matrix is $\left[\begin{array}{cccc}0.01& 0.03& -0.00& 0.03\\ 0.02& -0.02& 0.01& 0.01\\ -0.04& 0.01& 0.04& 0.06\\ 0.05& -0.02& -0.00& -0.09\end{array}\right]$