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Introduction to Linear Algebra(영문판)(4판)
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출판사 리뷰
출판사 리뷰
목차
목차
Chapter 1 Preliminaries
1.1 Fields
1.2 Matrices and Matrix Operations
Chapter 2 Vector Spaces
2.1 Vector Spaces
2.2 Vectors in Euclidean Spaces
2.3 Subspaces
2.4 Bases of Vector Spaces
Chapter 3 System of Linear Equations
3.1 Gauss-Jordan Elimination
3.2 Inverse Matrix
3.3 Elementary Matrix Multiplications
3.4 Row and Column Space
Chapter 4 Linear Transformations and Matrices
4.1 Linear Transformations
4.2 Matrix Represetations of Linear Transformations
4.3 Compositions of Linear Transformations and Their Matrices
4.4 Change of Basis
Chapter 5 Determinants
5.1 Definiton of Determinant
5.2 Properties of Determinant
5.3 Cramer's Rule
Chapter 6 Inner Products
6.1 Inner Products
6.2 Gram-Schmidt Theorem
6.3 QR-Decomposition
Chapter 7 Eigenvalues and Their Applications
7.1 Cayley-Hamilton Theorem
7.2 Eigenvalues and Their Applications
7.3 Diagonalization of Square matrices
7.4 Diagonalization of Symmetric Matrices
7.5 Quadratic Forms
Chapter 8 Jordan Canonical Forms
8.1 Jordan Chains
8.2 Jordan Canonical Forms
Answers to Exercieses
References
Index
1.1 Fields
1.2 Matrices and Matrix Operations
Chapter 2 Vector Spaces
2.1 Vector Spaces
2.2 Vectors in Euclidean Spaces
2.3 Subspaces
2.4 Bases of Vector Spaces
Chapter 3 System of Linear Equations
3.1 Gauss-Jordan Elimination
3.2 Inverse Matrix
3.3 Elementary Matrix Multiplications
3.4 Row and Column Space
Chapter 4 Linear Transformations and Matrices
4.1 Linear Transformations
4.2 Matrix Represetations of Linear Transformations
4.3 Compositions of Linear Transformations and Their Matrices
4.4 Change of Basis
Chapter 5 Determinants
5.1 Definiton of Determinant
5.2 Properties of Determinant
5.3 Cramer's Rule
Chapter 6 Inner Products
6.1 Inner Products
6.2 Gram-Schmidt Theorem
6.3 QR-Decomposition
Chapter 7 Eigenvalues and Their Applications
7.1 Cayley-Hamilton Theorem
7.2 Eigenvalues and Their Applications
7.3 Diagonalization of Square matrices
7.4 Diagonalization of Symmetric Matrices
7.5 Quadratic Forms
Chapter 8 Jordan Canonical Forms
8.1 Jordan Chains
8.2 Jordan Canonical Forms
Answers to Exercieses
References
Index
저자
저자
Hong Goo Park
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