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1.

図書
図書
1. Exploring linear algebra : labs and projects with MATLAB (: paperback)
Crista Arangala
出版情報: Boca Raton, FL : CRC Press, Taylor & Francis Group, c2019  ix, 145 p. ; 24 cm
シリーズ名: Textbooks in mathematics / series editor, Denny Gulick
A Chapman & Hall book
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2.

図書
図書
2. Linear algebra (: gw ; : us)
J.H. Wilkinson, C. Reinsch ; chief editor, F.L. Bauer
出版情報: Berlin ; New York : Springer-Verlag, 1971  viii, 439 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 186 . Handbook for automatic computation ; v. 2
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3.

図書
図書
3. Principles of linear algebra with Mathematica (: hbk)
Kenneth Shiskowski, Karl Frinkle
出版情報: Hoboken, N.J. : Wiley, c2011  xiv, 598 p. ; 25 cm
シリーズ名: Pure and applied mathematics
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目次情報: 続きを見る
Preface
Conventions and Notations
An Introduction to Mathematica" / 1：
The Very Basics / 1.1：
Basic Arithmetic / 1.2：
Lists and Matrices / 1.3：
Expressions versus Functions / 1.4：
Plotting and Animations / 1.5：
Solving Systems of Equations / 1.6：
Basic Programming / 1.7：
Linear Systems of Equations and Matrices / 2：
Linear Systems of Equations / 2.1：
Augmented Matrix of a Linear System and Row Operations / 2.2：
Some Matrix Arithmetic / 2.3：
Gauss-Jordan Elimination and Reduced Row Echelon Form / 3：
Gauss-Jordan Enmination and rref / 3.1：
Elementary Matrices / 3.2：
Sensitivity of Solutions to Error in the Linear System / 3.3：
Applications of Linear Systems and Matrices / 4：
Applications of Linear Systems to Geometry / 4.1：
Applications of Linear Systems to Curve Fitting / 4.2：
Applications of Linear Systems to Economics / 4.3：
Applications of Matrix Multiplication to Geometry / 4.4：
An Application of Matrix Multiplication to Economics / 4.5：
Determinants, Inverses, and Cramer's Rule / 5：
Determinants and Inverses from the Adjoint Formula / 5.1：
Finding Determinants by Expanding along Any Row or Column / 5.2：
Determinants Found by Triangularizing Matrices / 5.3：
LU Factorization / 5.4：
Inverses from rref / 5.5：
Gramer's Rule / 5.6：
Basic Vector Algebra Topics / 6：
Vectors / 6.1：
Dot Product / 6.2：
Cross Product / 6.3：
Vector Projection / 6.4：
A Few Advanced Vector Algebra Topics / 7：
Rotations in Space / 7.1：
"Rolling" a Circle along a Curve / 7.2：
The TNB Frame / 7.3：
Independence, Basis, and Dimension for Subspaces of Rn / 8：
Subspaces of Rn / 8.1：
Independent and Dependent Sets of Vectors in Rn / 8.2：
Basis and Dimension for Subspaces of Rn / 8.3：
Vector Projection onto a Subspace of Rn / 8.4：
The Gram-Schmidt Orthonormalization Process / 8.5：
Linear Maps from Rn to Rm / 9：
Basics about Linear Maps / 9.1：
The Kernel and Image Subspaces of a Linear Map / 9.2：
Composites of Two Linear Maps and Inverses / 9.3：
Change of Bases for the Matrix Representation of a Linear Map / 9.4：
383 / 10：
The Effect of a Linear Map on Area and Arclength in Two Dimensions / 10.1：
The Decomposition of Linear Maps into Rotations, Reflections, and Rescalings in R2 / 10.2：
The Effect of Linear Maps on Volume, Area, arid Arclength in R3 / 10.3：
Rotations, Reflections, and Rescalings in Three Dimensions / 10.4：
Affine Maps / 10.5：
Least-Squares Fits and Pseudo inverses / 11：
Pseudoinverse to a Nonsquare Matrix and Almost Solving an Overdetermined Linear System / 11.1：
Fits and Pseudoinverses / 11.2：
Least-Squares Fits and Pseudoinverses / 11.3：
Eigenvalues and Eigenvectors / 12：
What Are Eigenvalues and Eigenvectors, and Why Do We Need Them? / 12.1：
Summary of Definitions and Methods for Computing Eigenvalues and Eigenvectors as Well as the Exponential of a Matrix / 12.2：
Applications of the Diagonalizability of Square Matrices / 12.3：
Solving a Square First-Order Linear System of Differential Equations / 12.4：
Basic Facts about Eigenvalues, Eigenvectors, and Diagonalizability / 12.5：
The Geometry of the Ellipse Using Eigenvalues and Eigenvectors / 12.6：
A Mathematica Eigen-Function / 12.7：
Bibliographic Material
Indexes
Keyword Index
Index of Mathematica Commands
Preface
Conventions and Notations
An Introduction to Mathematica" / 1：
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