College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 6, Matrices and Determinants - Section 6.3 - Inverses of Matrices and Matrix Equations - 6.3 Exercises - Page 523: 28

Answer

\[ M= \left[ {\begin{array}{cc} -2/25 & 3/25 & -1/25\\ 2/5 & 2/5 & 1/5 \\ -1/5 & -1/5 & -3/5 \\ \end{array} } \right] \]

Work Step by Step

We plug this into a graphing calculator as stated in the book. It is important to remember the calculator will find the inverse by solving for a second matrix, and thus the answer will be a decimal on most calculator. If using a TI calculator, pushing $\triangle frac$ will put the answer into fractions. After doing above we get... \[ M= \left[ {\begin{array}{cc} -2/25 & 3/25 & -1/25\\ 2/5 & 2/5 & 1/5 \\ -1/5 & -1/5 & -3/5 \\ \end{array} } \right] \]
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