Ebook: Principles of Linear Algebra with Mathematica

A hands-on introduction to the theoretical and computational aspects of linear algebra using Mathematica® Many topics in linear algebra are simple, yet computationally intensive, and computer algebra systems such as Mathematica® are essential not only for learning to apply the concepts to computationally challenging problems, but also for visualizing many of the geometric aspects within this field of study. Principles of Linear Algebra with Mathematica uniquely bridges the gap between beginning linear algebra and computational linear algebra that is often encountered in applied settings.;Cover; Contents; Series Page; Title Page; Copyright; Conventions and Notations; Preface; Chapter 1: An Introduction to Mathematica®; 1.1 The Very Basics; 1.2 Basic Arithmetic; 1.3 Lists and Matrices; 1.4 Expressions versus Functions; 1.5 Plotting and Animations; 1.6 Solving Systems of Equations; 1.7 Basic Programming; Chapter 2: Linear Systems of Equations and Matrices; 2.1 Linear Systems of Equations; 2.2 Augmented Matrix of a Linear System and Row Operations; 2.2 Some Matrix Arithmetic; Chapter 3: Gauss-Jordan Elimination and Reduced Row Echelon Form; 3.1 Gauss-Jordan Elimination and rref.