Q. 67 - 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.

$\left[\begin{array}{ccc}25& 61& -12\\ 18& -2& 4\\ 8& 35& 21\end{array}\right]$.

Step-by-Step Solution

Answer

The inverse of the matrix is $\left[\begin{array}{ccc}0.00& 0.05& -0.01\\ 0.01& -0.02& 0.01\\ -0.02& 0.01& 0.03\end{array}\right]$ .

Step 1.Given information

Given $\left[\begin{array}{ccc}25& 61& -12\\ 18& -2& 4\\ 8& 35& 21\end{array}\right]$.

step 2.Using graph utility

By using graph utility the inverse of the matrix

$\left[\begin{array}{ccc}0.00& 0.05& -0.01\\ 0.01& -0.02& 0.01\\ -0.02& 0.01& 0.03\end{array}\right]$.

Step 3.The solution

The inverse matrix is $\left[\begin{array}{ccc}0.00& 0.05& -0.01\\ 0.01& -0.02& 0.01\\ -0.02& 0.01& 0.03\end{array}\right]$.