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: 67

Answer

$A^{-1}=\left[\begin{array}{rrr} {0.01}&{0.05}&{-0.01}\\ {0.01}&{-0.02}&{0.01}\\ {-0.02}&{0.01}&{0.03}\end{array}\right]$

Work Step by Step

Our aim is to determine the inverse of the following matrix by using a graphic calculator and round-off to two decimal places. $A=\begin{bmatrix} 25 & 61& -12\\18 & -2 & 4 \\ 8&35& 21 \end{bmatrix}$ Using a graphing calculator (or computer algebra system), we obtain the inverse matrix below: $A^{-1}=\left[\begin{array}{rrr} {0.01}&{0.05}&{-0.01}\\ {0.01}&{-0.02}&{0.01}\\ {-0.02}&{0.01}&{0.03}\end{array}\right]$
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