Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 3 Linear Systems and Matrices - 3.8 Use Inverse Matrices to Solve Linear Systems - 3.8 Exercises - Skill Practice - Page 214: 21


$$\begin{pmatrix}-\frac{1}{2}&0&\frac{1}{2}\\ -\frac{17}{16}&\frac{1}{8}&\frac{7}{16}\\ \frac{7}{32}&\frac{1}{16}&-\frac{1}{32}\end{pmatrix}$$

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: $$\begin{pmatrix}-\frac{1}{2}&0&\frac{1}{2}\\ -\frac{17}{16}&\frac{1}{8}&\frac{7}{16}\\ \frac{7}{32}&\frac{1}{16}&-\frac{1}{32}\end{pmatrix}$$
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