Linear Algebra : An Introduction (Paperback) by Larson, Falvo

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Book Summary of Linear Algebra : An Introduction

Table of Contents

Preface
What is Linear Algebra?
Chapter 1 Linear Equation Systems
1.1 Introduction to Systems of Linear Equations
1.2 Gaussian Eleimination and Gauss-Jordan Elimination
1.3 Application of Systems of Linear Equations
Chapter 2 Matrices
2.1 Operations with Matrices
2.2 Properties of a Matrices
2.3 The Inverse of a Matrix
2.4 Elementary Matrices
2.5 Applications of Matrix Operations
Chapter 3 Determinants
3.1 The Determinant of a Matrix
3.2 Evaluation of a Determinant Using Elementary Operations
3.3 Properties of Eigenvalues
3.4 Introduction of Eigenvalues
3.5 Applications of Determinants
Chapter 4 Vector Spaces
4.1 Vectors in Rn
4.2 Vector Spaces
4.3 Subspaces of Vector Spaces
4.4 Spanning Sets and Linear Independence
4.5 Basis and Dimension
4.6 Rank of a Matrix and Systems of Linear Equations
4.7 Coordinates and Change of Basis
4.8 Application of Vector Spaces
Chapter 5 Inner Product of vector Spaces
5.1 Length and Dot Product in Rn
5.2 Inner Product Spaces
5.3 Orthonormal Bases: Gram-Schmidt Process
5.4 Mathematical Models and Least Squares Analysis
5.5 Applications of Inner Product Spaces
Chapter 6 Linear Transformations
6.1 Introduction to Linear Transformations
6.2 The Kernel and Range of a Linear Transformation
6.3 Matrices for Linear Transformations
6.4 Transition Matrices and Similarity
6.5 Applications of Linear Transformations
Chapter 7 Eigenvalues and Eigenvectors
7.1 Eigenvalues and Eigenvectors
7.2 Diagonalization
7.3 Symmetric matrices and Orthogonal Diagonalization
7.4 Applications of Eigenvalues and other Forms of Proofs
Project
Cumulative Test
Answer Key
Index

Details of Book: Linear Algebra : An Introduction

Book:	Linear Algebra : An Introduction
Author:	Larson, Falvo
ISBN:	8131512525
ISBN-13:	9788131512524 ,  978-8131512524
Binding:	Paperback
Publishing Date:	2010
Publisher:	Cengage Learning
Edition:	1st Edition
Number of Pages:	397
Language:	English