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1.

図書

図書
by Chris Rorres, Howard Anton
出版情報: New York : Wiley, c1977  ix, 233 p. ; 23 cm
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2.

図書

図書
Howard Anton, Chris Rorres
出版情報: New York : John Wiley, c2000  xvi, [8], 822 p. ; 27 cm
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目次情報: 続きを見る
Systems of Linear Equations and Matrices
Note: All relevant chapters end with Supplementary Exercises.
Determinants
Vectors in 2-Space and 3-Space / 1:
Linear Equations and Matrices
Euclidean Vector Spaces
Systems of Linear Equations
General Vector Spaces
Matrices
Inner Product Spaces
Matrix Multiplication
Eigenvalues, Eigenvectors
Algebraic Properties of Matrix Operations
Linear Transformations
Special Types of Matrices and Partitioned Matrices
Additional Topics
Matrix Transformations
Complex Vector Spaces
Computer Graphics
Answers to Exercises
Correlation Coefficient (Optional)
Photo Credits
Index / 2:
Solving Linear Systems
Echelon Form of a Matrix
Elementary Matrices: Finding A-1
Equivalent Matrices
LU-Factorization (Optional)
Real Vector Spaces / 3:
Vectors in the Plane and in 3-space
Vector Spaces
Subspaces
Span and Linear Independence
Basis and Dimension
Homogeneous Systems
Coordinates and Isomorphisms
Rank of a Matrix
Standard Inner Product on R2 and R3 / 4:
Cross Product in R3 (Optional)
Gram-Schmidt Process
Orthogonal Complements
Least Squares (Optional)
Linear Transformations and Matrices / 5:
Definition and Examples
Kernel and Range of a Linear Transformation
Matrix of a Linear Transformation
Vector Space of Matrices and Vector Space of Linear Transformations (Optional)
Similarity
Inroduction to Homogeneous Coordinates (Optional)
Definition / 6:
Properties of Determinants
Cofactor Expansion
Inverse of a Matrix
Other Applications of Determinants
Determinants from a Computational Point of View
Eigenvalues and Eigenvectors / 7:
Diagonalization and Similar Matrices
Stable Age Distribution in a Population
Markov Processes (Optional)
Diagonalization of Symmetric Matrices
Spectral Decomposition and Singular Value Decomposition (Optional)
Real Quadratic Forms
Conic Sections
Quadric Surfaces
Dominant Eigenvalue and Principal Component Analysis (Optional)
Differential Equations (Optional) / 8:
Differential Equations
Dynamical Systems
MATLAB for Linear Algebra / 9:
Input and Output in MATLAB
Matrix Operations in MATLAB
Matrix Powers and Some Special Matrices
Elementary Row Operations in MATLAB
Matrix Inverses in MATLAB
Vectors in MATLAB
Applications of Linear Combinations in MATLAB
Linear Transformations in MATLAB
MATLAB Command Summary
MATLAB Exercises / 10:
Preliminaries Sets Functions / Appendix A:
Complex Numbers Complex Numbers Complex Numbers in Linear Algebra / Appendix B:
Introduction to Proofs / Appendix C:
Answers to Odd-Numbered Exercises
Systems of Linear Equations and Matrices
Note: All relevant chapters end with Supplementary Exercises.
Determinants
3.

図書

図書
Howard Anton, Chris Rorres
出版情報: Hoboken, N.J. : John Wiley & Sons, c2011  xiv, 777 p. ; 26 cm
所蔵情報: loading…
目次情報: 続きを見る
Systems of Linear Equations and Matrices / Chapter 1:
Determinants / Chapter 2:
Euclidean Vector Spaces / Chapter 3:
General Vector Spaces / Chapter 4:
Eignvalues and Eigenvectors / Chapter 5:
Inner Product Spaces / Chapter 6:
Diagonalization and Quadratic Forms / Chapter 7:
Linear Transformations / Chapter 8:
Numerical Methods / Chapter 9:
Applications of Linear Algebra / Chapter 10:
Systems of Linear Equations and Matrices / Chapter 1:
Determinants / Chapter 2:
Euclidean Vector Spaces / Chapter 3:
4.

図書

図書
Howard Anton, Chris Rorres
出版情報: Hoboken, N.J. : John Wiley & Sons, c2015  xiii, 769 p. ; 26 cm
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