Linear Algebra and Its Applications (5th Edition)

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

Chapter 1 - Linear Equations in Linear Algebra - Supplementary Exercises - Page 90: 11

Answer

$\sim\left[\begin{array}{lll}1 & 1 & 1 \\ 1 & 2 & 2\end{array}\right]$

Work Step by Step

Result of a system with $2 \times 3$ coefficient matrix is a line when system has one free variable. For example: $\left[\begin{array}{lll}1 & 1 & 1 \\ 0 & 1 & 1\end{array}\right]$ This matrix is in echelon form, so just add first row to second: $\sim\left[\begin{array}{lll}1 & 1 & 1 \\ 1 & 2 & 2\end{array}\right]$
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