Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 10 - Section 10.5 - Inverses of Matrices and Matrix Questions - 10.5 Exercises - Page 732: 42

Answer

$x=-400/3, \quad y=-700/3 $

Work Step by Step

In exercise 14, $\quad A=\left[\begin{array}{ll} -7 & 4\\ 8 & -5 \end{array}\right],$ we obtained $A^{-1}=\left[\begin{array}{ll} -5/3 & -4/3\\ -8/3 & -7/3 \end{array}\right]$ $B=\left[\begin{array}{l} 0\\ 100 \end{array}\right],\quad X=A^{-1}B$ $X=\left[\begin{array}{ll} -5/3 & -4/3\\ -8/3 & -7/3 \end{array}\right]\left[\begin{array}{l} 2\\ 20 \end{array}\right]=\left[\begin{array}{l} -5/3(0)-4/3(100)\\ -8/3(0)-7/3(100) \end{array}\right]=\left[\begin{array}{l} -400/3\\ -700/3 \end{array}\right]$ $x=-400/3, \quad y=-700/3 $
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