Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 10 - Section 10.4 - The Algebra of Matrices - 10.4 Exercises - Page 721: 47

Answer

$\left[\begin{array}{ll} 2 & -5\\ 3 & 2 \end{array}\right]\left[\begin{array}{l} x\\ y \end{array}\right]=\left[\begin{array}{l} 7\\ 4 \end{array}\right]$

Work Step by Step

Coefficient matrix: $A=\left[\begin{array}{ll} 2 & -5\\ 3 & 2 \end{array}\right]$ Constant matrix: $B=\left[\begin{array}{l} 7\\ 4 \end{array}\right]$ Uknowns: $X=\left[\begin{array}{l} x\\ y \end{array}\right]$ $AX=B$ $\left[\begin{array}{ll} 2 & -5\\ 3 & 2 \end{array}\right]\left[\begin{array}{l} x\\ y \end{array}\right]=\left[\begin{array}{l} 7\\ 4 \end{array}\right]$
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