Elementary Linear Algebra 7th Edition

Published by Cengage Learning
ISBN 10: 1-13311-087-8
ISBN 13: 978-1-13311-087-3

Chapter 1 - Systems of Linear Equations - 1.2 Gaussian Elimination and Gauss-Jordan Elimination - 1.2 Exercises - Page 23: 41

Answer

$x_{1}=0$ $x_{2}=-t$ $x_{3}=t$

Work Step by Step

The system of equations corresponding to this matrix is $x_{1}=0$_______________Equation 1 $x_{2}+x_{3}=0$ __________Equation 2 $0=0$________________Equation 3 From equatio 2: $x_{2}=-x_{3}$ Using the parameter $t=x_{3}$ the solution is: $x_{1}=0$ $x_{2}=-t$ $x_{3}=t$
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