College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 6, Matrices and Determinants - Section 6.1 - Matrices and Systems of Linear Equations - 6.1 Exercises - Page 501: 21

Answer

$ \left[\begin{array}{rrrr} -1 & 1 & 2 & 0\\ 0 & 4 & 7 & 4\\ 1 & -2 & -1 & -1 \end{array}\right]$

Work Step by Step

$\left[\begin{array}{rrrr} -1 & 1 & 2 & 0\\ 3 & 1 & 1 & 4\\ 1 & -2 & -1 & -1 \end{array}\right]\quad\overrightarrow{3R_{1}+R_{2}\rightarrow R_{2}}$ $\left[\begin{array}{ccc} -1 & 1 & 2 & 0\\ 3(-1)+3 & 3(1)+1 & 3(2)+1 & 3(0)+4\\ 1 & -2 & -1 & -1 \end{array}\right]$ $\rightarrow\left[\begin{array}{rrrr} -1 & 1 & 2 & 0\\ 0 & 4 & 7 & 4\\ 1 & -2 & -1 & -1 \end{array}\right]$
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