Description 
1 online resource 
Series 
Textbooks in mathematics 

Textbooks in mathematics (Boca Raton, Fla.)

Contents 
Cover; Half Title; Title Page; Copyright Page; Dedication; Table of Contents; Preface for the Instructor; Preface for the Student; 1 Matrices; 1.1 Introduction to Matrices; 1.2 Matrix Addition and Scalar Multiplication; 1.3 Fundamental Properties of Addition and Scalar Multiplication; 1.4 Transpose of a Matrix; 1.5 Special Matrices; 1.6 Matrix Multiplication; 1.7 Algebraic Rules for Matrix Multiplication; 1.8 Matrix Multiplication and Linear Combinations; 1.9 Chapter 1 Test; 2 Application: Elementary Graph Theory; 2.1 Graphs and Digraphs: Definitions; 2.2 The Adjacency Matrix 

2.3 Counting Paths and Connectivity2.4 Chapter 2 Test; 3 Vectors; 3.1 Vector Fundamentals; 3.2 Vector Operations and Geometry; 3.3 The Dot Product of Vectors; 3.4 The Angle Between Vectors; 3.5 Projection Vectors; 3.6 Linear Combinations with Mutually Orthogonal Vectors; 3.7 Chapter 3 Test; 4 Solving Systems of Linear Equations; 4.1 Systems of Linear Equations; 4.2 Row Operations on Augmented Matrices; 4.3 Introduction to GaussJordan Row Reduction; 4.4 The Remaining Cases of the GaussJordan Method; 4.5 Reduced Row Echelon Form and Rank of a Matrix 

4.6 Homogeneous Systems and Mutually Orthogonal Sets4.7 Chapter 4 Test; 5 Application: LeastSquares; 5.1 Approximation by a Linear Function; 5.2 Higher Degree Polynomials; 5.3 How Does LeastSquares Work?; 5.4 Chapter 5 Test; 6 Inverses for Matrices; 6.1 Multiplicative Inverses; 6.2 Properties of Inverse Matrices; 6.3 Orthogonal Matrices and Mutually Orthogonal Sets; 6.4 Chapter 6 Test; 7 Geometric Transformations with Matrices; 7.1 Matrix Transformations of the Plane; 7.2 Compositions and Inverses of Transformations; 7.3 Homogeneous Coordinates; 7.4 Chapter 7 Test 

A Answers to OddNumbered ExercisesB Properties, Theorems, and Methods; Index 
Summary 
Linear Methods: A General Education Course is expressly written for nonmathematical students, particularly freshmen taking a required core mathematics course. Rather than covering a hodgepodge of different topics as is typical for a core mathematics course, this text encourages students to explore one particular branch of mathematics, elementary linear algebra, in some depth. The material is presented in an accessible manner, as opposed to a traditional overly rigorous approach. While introducing students to useful topics in linear algebra, the book also includes a gentle introduction to more abstract facets of the subject 
Bibliography 
Includes bibliographical references and index 
Notes 
Online resource; title from PDF file page (EBSCO, viewed August 28, 2018) 
Subject 
Algebras, Linear  Textbooks


Algebras, Linear.


MATHEMATICS  Algebra  Intermediate.

Genre/Form 
Textbooks.

Form 
Electronic book

Author 
Andrilli, Stephen, author

ISBN 
131516969X 

135168969X 

9781315169699 

9781351689694 
