Elementary Linear Algebra 7th Edition

Published by Cengage Learning
ISBN 10: 1-13311-087-8
ISBN 13: 978-1-13311-087-3

Chapter 1 - Systems of Linear Equations - 1.1 Introduction to Systems of Linear Equations - 1.1 Exercises: 57

Answer

Using Wolfram Mathematica we obtained for the soluton $$x_1 = -15;\quad x_2 = 40;\quad x_3 = 45;\quad x_4=-75.$$

Work Step by Step

One of the simplest ways to solve this system is just using Wolfram Mathematica and the following sequence: Solve[{x1 + 0.5x2 + 0.33x3 + 0.25x4 == 1.1, 0.5x1 + 0.33x2 + 0.25x3 + 0.21x4 == 1.2, 0.33x1 + 0.25x2 + 0.2x3 + 0.17x4 == 1.3, 0.25x1 + 0.2x2 + 0.17x3 + 0.14x4 == 1.4 }, {x1,x2,x3,x4}]; This yields for the solution of the system: $$x_1 = -15;\quad x_2 = 40;\quad x_3 = 45;\quad x_4=-75.$$
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