# Introductory Linear Algebra

Edition: 1

Pages: 352

## \$44.10

ISBN 9798765746424

Details Electronic Delivery EBOOK 180 days

Preface
Notations and Conventions

Chapter 1 Euclidean Spaces
1.1 Vectors
1.2 Lines in R2
1.3 Length and Dot Product
1.4 Orthogonal Projection
1.5 Area in R2 and 2×2 Determinants
1.6 Planes in R3

Chapter 2 System of Linear Equations
2.1 Terminologies and Definitions
2.2 Gaussian Elimination

Chapter 3 Matrix Algebra
3.1 Definitions and Properties of Matrix Operations
3.2 Linear Systems Revisited
3.3 Invertible Matrix
3.4 Square Matrices of Special Forms
3.5 Elementary Matrices

Chapter 4 Determinants
4.1 Definition
4.2 Properties of Determinants
4.3 Adjoint Matrix and Cramer’s Rule
4.4 Cross Product in R3

Chapter 5 Subspaces of Rn and Their Bases
5.1 Subspaces of Rn
5.2 Linear Combination and Linear Independence
5.3 Basis and Dimension
5.4 Coordinates with Respect to Ordered Bases

Chapter 6 Linear Transformations
6.1 Matrix Transformations
6.2 Linear Operators on R2 and R3

Chapter 7 Eigenvalues, Eigenvectors and Diagonalization
7.1 Definitions and Properties of Eigenvalues and Eigenvectors
7.2 Diagonalizability
7.3 Diagonalization

Answer Keys to Selected Exercise Problems

Index

Shengda Hu
Ping Zhang
Kaiming Zhao

Preface
Notations and Conventions

Chapter 1 Euclidean Spaces
1.1 Vectors
1.2 Lines in R2
1.3 Length and Dot Product
1.4 Orthogonal Projection
1.5 Area in R2 and 2×2 Determinants
1.6 Planes in R3

Chapter 2 System of Linear Equations
2.1 Terminologies and Definitions
2.2 Gaussian Elimination

Chapter 3 Matrix Algebra
3.1 Definitions and Properties of Matrix Operations
3.2 Linear Systems Revisited
3.3 Invertible Matrix
3.4 Square Matrices of Special Forms
3.5 Elementary Matrices

Chapter 4 Determinants
4.1 Definition
4.2 Properties of Determinants
4.3 Adjoint Matrix and Cramer’s Rule
4.4 Cross Product in R3

Chapter 5 Subspaces of Rn and Their Bases
5.1 Subspaces of Rn
5.2 Linear Combination and Linear Independence
5.3 Basis and Dimension
5.4 Coordinates with Respect to Ordered Bases

Chapter 6 Linear Transformations
6.1 Matrix Transformations
6.2 Linear Operators on R2 and R3

Chapter 7 Eigenvalues, Eigenvectors and Diagonalization
7.1 Definitions and Properties of Eigenvalues and Eigenvectors
7.2 Diagonalizability
7.3 Diagonalization

Answer Keys to Selected Exercise Problems