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: 49

Answer

$\left[\begin{array}{rrrr} 3 & 2 & -1 & 1\\ 1 & 0 & -1 & 0\\ 0 & 3 & 1 & -1 \end{array}\right]\left[\begin{array}{l} x_{1}\\ x_{2}\\ x_{3}\\ x_{4} \end{array}\right]=\left[\begin{array}{l} 0\\ 5\\ 4 \end{array}\right]$

Work Step by Step

Coefficient matrix: $A=\left[\begin{array}{llll} 3 & 2 & -1 & 1\\ 1 & 0 & -1 & 0\\ 0 & 3 & 1 & -1 \end{array}\right]$ Constant matrix: $B=\left[\begin{array}{l} 0\\ 5\\ 4 \end{array}\right]$ Uknowns: $X=\left[\begin{array}{l} x_{1}\\ x_{2}\\ x_{3}\\ x_{4} \end{array}\right]$ $AX=B$ $\left[\begin{array}{llll} 3 & 2 & -1 & 1\\ 1 & 0 & -1 & 0\\ 0 & 3 & 1 & -1 \end{array}\right]\left[\begin{array}{l} x_{1}\\ x_{2}\\ x_{3}\\ x_{4} \end{array}\right]=\left[\begin{array}{l} 0\\ 5\\ 4 \end{array}\right]$
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.