Answer
$$\begin{pmatrix}\frac{5}{146}&\frac{5}{146}&\frac{13}{146}\\ \frac{6}{73}&\frac{6}{73}&\frac{1}{73}\\ -\frac{48}{73}&\frac{25}{73}&-\frac{8}{73}\end{pmatrix}$$
Work Step by Step
To use a graphing calculator to find the inverse of a Matrix, first select (2nd) and ($x^{-1})$ to bring up the Matrix menu. Next, scroll to edit, select Matrix [A], and plug in the given Matrix. (You may have to change the dimensions of the Matrix.) Finally, going back to the main screen, select (2nd) and ($x^{-1})$. Then, choose Matrix A, and press the $x^{-1}$ to find its inverse. Doing this, we find:
$$\begin{pmatrix}\frac{5}{146}&\frac{5}{146}&\frac{13}{146}\\ \frac{6}{73}&\frac{6}{73}&\frac{1}{73}\\ -\frac{48}{73}&\frac{25}{73}&-\frac{8}{73}\end{pmatrix}$$
