## Algebra 2 (1st Edition)

Published by McDougal Littell

# Chapter 3 Linear Systems and Matrices - 3.8 Use Inverse Matrices to Solve Linear Systems - 3.8 Exercises - Skill Practice - Page 214: 22

#### 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: $$\begin{pmatrix}\frac{5}{146}&\frac{5}{146}&\frac{13}{146}\\ \frac{6}{73}&\frac{6}{73}&\frac{1}{73}\\ -\frac{48}{73}&\frac{25}{73}&-\frac{8}{73}\end{pmatrix}$$

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