Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 3 - Section 3.4 - Matrix Solutions to Linear Systems - Exercise Set - Page 229: 9

Answer

The answer is $\left[\begin{array}{ccc|c} 1 & -3 & 2&5 \\ 1 &5 &-5&0 \\ 3&0&4&7\\ \end{array}\right]$.

Work Step by Step

The given matrix is The given matrix is $\left[\begin{array}{ccc|c} 2 & -6 & 4&10 \\ 1 &5 &-5&0 \\ 3&0&4&7\\ \end{array}\right]$ Perform $ \frac{1}{2}R_1 $. Multiply row 1 by $\frac{1}{2}$. $\left[\begin{array}{ccc|c} 2\cdot \frac{1}{2} & -6\cdot \frac{1}{2} & 4\cdot \frac{1}{2}&10\cdot \frac{1}{2} \\ 1 &5 &-5&0 \\ 3&0&4&7\\ \end{array}\right]$ Simplify. $\left[\begin{array}{ccc|c} 1 & -3 & 2&5 \\ 1 &5 &-5&0 \\ 3&0&4&7\\ \end{array}\right]$
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