Linear Algebra and Its Applications (5th Edition)

Published by Pearson
ISBN 10: 032198238X
ISBN 13: 978-0-32198-238-4

Chapter 2 - Matrix Algebra - 2.2 Exercises - Page 111: 6

Answer

x= $\begin{bmatrix}2\\-5\\\end{bmatrix}$

Work Step by Step

x=$A^{-1}b$ $A^{-1}$= $\begin{bmatrix}1&1\\-1.4&-1.6\\\end{bmatrix}$ $\begin{bmatrix}x_{1}\\x_{2}\\\end{bmatrix}$= $\begin{bmatrix}1&1\\-1.4&-1.6\\\end{bmatrix}$ $\begin{bmatrix}-9\\11\\\end{bmatrix}$ =$\begin{bmatrix}-9+11\\-1.4(-9)+(-1.6)(11)\\\end{bmatrix}$ =$\begin{bmatrix}2\\-5\\\end{bmatrix}$
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