Introductory Linear Algebra

Hu, Shengda/ Zhang, Ping/ Zhao, Kaiming

Kendall/Hunt Publishing Co ,U.S.（1753/01発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 277 p.
• 言語 ENG
• 商品コード 9781792483608

Contents

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 2x2 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
Suggested Further Readings
Index