Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 10 - Systems of Equations and Inequalities - Section 10.4 Matrix Algebra - 10.4 Assess Your Understanding - Page 778: 68

Answer

$A^{-1}\approx\left[\begin{array}{rrr} {0.26}&{-0.29}&{-0.20}\\ {-1.21}&{1.63}&{1.20}\\ {-1.84}&{2.53}&{1.80}\end{array}\right]$

Work Step by Step

Our aim is to determine the inverse of the following matrix by using a graphing calculator and round-off to two decimal places. $A=\begin{bmatrix} 18 & -3& 4\\6 & -20 & 14 \\ 10&25& -15 \end{bmatrix}$ Using a graphing calculator (or computer algebra system), we obtain the inverse matrix below: $A^{-1}\approx\left[\begin{array}{rrr} {0.26}&{-0.29}&{-0.20}\\ {-1.21}&{1.63}&{1.20}\\ {-1.84}&{2.53}&{1.80}\end{array}\right]$
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