Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Appendix B - Matrices - B Exercises - Page B-15: 24

Answer

$\begin{bmatrix} -1&-1 &4 \\ 2 & 0 & 6 \end{bmatrix}$.

Work Step by Step

The given system is $\left\{\begin{matrix} -x &-y & = &4 \\ 2x& -7 & = &-1 \end{matrix}\right.$ Rewrite the second equation as linear equation. $\left\{\begin{matrix} -x &-y & = &4 \\ 2x&+ 0y & = &6 \end{matrix}\right.$ For the augmented matrix First column $=$ coefficients of $x$. Second column $=$ coefficients of $y$ and third column $=$ the right-hand side. The augmented matrix is $\begin{bmatrix} -1&-1 &4 \\ 2 & 0 & 6 \end{bmatrix}$.
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