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: 22

Answer

$\left[\begin{array}{rrrr} -5 & 2 & -3 & 3\\ 0 & 1 & -5 & -30\\ -1 & 3 & 1 & 8 \end{array}\right]$

Work Step by Step

$\left[\begin{array}{rrrr} -5 & 2 & -3 & 3\\ 10 & -3 & 1 & -20\\ -1 & 3 & 1 & 8 \end{array}\right]\quad\overrightarrow{2R_{1}+R_{2}\rightarrow R_{2}}$ $\rightarrow\left[\begin{array}{cccc} -5 & 2 & -3 & 3\\ 2(-5)+10 & 2(2)+(-3) & 2(-3)+1 & 2(-5)+(-20)\\ -1 & 3 & 1 & 8 \end{array}\right]\rightarrow$ $\left[\begin{array}{rrrr} -5 & 2 & -3 & 3\\ 0 & 1 & -5 & -30\\ -1 & 3 & 1 & 8 \end{array}\right]$
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