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: 44

Answer

$x=8, \quad y=-1 \quad z=8 $

Work Step by Step

In exercise $20,\ \quad A=\left[\begin{array}{lll} 5 & 7 & 4\\ 3 & -1 & 3\\ 6 & 7 & 5 \end{array}\right],$ we obtained $A^{-1}=\left[\begin{array}{lll} 26 & 7 & -25\\ -3 & -1 & 3\\ -27 & -7 & 26 \end{array}\right]$ $B=\left[\begin{array}{l} 1\\ 1\\ 1 \end{array}\right],\quad X=\left[\begin{array}{l} x\\ y\\ z \end{array}\right]=A^{-1}B$ $X=\left[\begin{array}{lll} 26 & -7 & -25\\ -3 & -1 & 3\\ -27 & 7 & 26 \end{array}\right]\left[\begin{array}{l} 1\\ 1\\ 1 \end{array}\right]=\left[\begin{array}{l} 26+7-25\\ -3-1+3\\ -27-7+26 \end{array}\right]=\left[\begin{array}{l} 8\\ -1\\ -8 \end{array}\right]$ $x=8, \quad y=-1 \quad z=8 $
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.