title: Linear Algebra and Differential Equations Using MATLAB
author:  Martin Golubitsky 
description: "The topic areas of linear algebra and differential equations lend themselves naturally to be developed in tandem, and I do not know of a text that does a better job of integrating the two areas so that each reinforce the understanding of the other."<br /><br />"[This text] provides a very interesting way of blending linear algebra and sophomore level differential equations course with the programming system MATLAB. . . . It . . . has the potential to be adopted by many institutions who are leaning towards the use of technology in the classroom. For one, I would use the book fore our linear algebra and differential equations course. . . ."<br /><br />"The text is unique in offering a true amalgam of linear algebra, differential equations, and MATLAB. There is a definite need for such a text. The integration of the three 'legs' is well done and the ideas are introduced at a good pace."
zlib_text: 2 
   
  Wynand S. Verwoerd
  Matrix Methods And Differential Equations 
  A Practical Introduction
  Download free eBooks at bookboon.com
  
  3 
   
  Matrix Methods and Differential Equations: A Practical Introduction
  © 2015 Wynand S. Verwoerd & bookboon.com
  ISBN 978-87-403-0251-6
  Download free eBooks at bookboon.com
  
  Matrix Methods And Differential Equations
  4 
  Contents
  Contents
   
  Introduction  Mathematical Modelling 
  8
  1.1 
  What is a mathematical model? 
  8
  1.2 
  Using mathematical models 
  9
  1.3 
  Types of models  
  11
  1.4 
  How is this book useful for modelling? 
  12
  2 
  Simultaneous Linear Equations 
  15
  2.1 
  Introduction  
  15
  2.2 
  Matrices 
  18
  2.3 
  Applying matrices to simultaneous equations 
  23
  2.4 
  Determinants 
  26
  2.5 
  Inverting a Matrix by Elementary Row Operations 
  30
  2.6 
  Solving Equations by Elementary Row Operations 
  32
  2.7 
  Homogeneous and Non-homogeneous equations 
  39
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