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1.

図書
図書
1. Matrix analysis and applied linear algebra (: set ; [main] ; solutions manual)
Carl Meyer
出版情報: Philadelphia : Society for Industrial and Applied Mathematics (SIAM), c2000  2 v. ; 25 cm.
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目次情報: 続きを見る
Preface
Linear Equations / 1.：
Introduction / 1.1：
Gaussian Elimination and Matrices / 1.2：
Gauss-Jordan Method / 1.3：
Two-Point Boundary Value Problems / 1.4：
Making Gaussian Elimination Work / 1.5：
Ill-Conditioned Systems / 1.6：
Rectangular Systems and Echelon Forms / 2.：
Row Echelon Form and Rank / 2.1：
Reduced Row Echelon Form / 2.2：
Consistency of Linear Systems / 2.3：
Homogeneous Systems / 2.4：
Nonhomogeneous Systems / 2.5：
Electrical Circuits / 2.6：
Matrix Algebra / 3.：
From Ancient China to Arthur Cayley / 3.1：
Addition and Transposition / 3.2：
Linearity / 3.3：
Why Do It This Way / 3.4：
Matrix Multiplication / 3.5：
Properties of Matrix Multiplication / 3.6：
Matrix Inversion / 3.7：
Inverses of Sums and Sensitivity / 3.8：
Elementary Matrices and Equivalence / 3.9：
The LU Factorization / 3.10：
Vector Spaces / 4.：
Spaces and Subspaces / 4.1：
Four Fundamental Subspaces / 4.2：
Linear Independence / 4.3：
Basis and Dimension / 4.4：
More about Rank / 4.5：
Classical Least Squares / 4.6：
Linear Transformations / 4.7：
Change of Basis and Similarity / 4.8：
Invariant Subspaces / 4.9：
Norms, Inner Products, and Orthogonality / 5.：
Vector Norms / 5.1：
Matrix Norms / 5.2：
Inner-Product Spaces / 5.3：
Orthogonal Vectors / 5.4：
Gram-Schmidt Procedure / 5.5：
Unitary and Orthogonal Matrices / 5.6：
Orthogonal Reduction / 5.7：
Discrete Fourier Transform / 5.8：
Complementary Subspaces / 5.9：
Range-Nullspace Decomposition / 5.10：
Orthogonal Decomposition / 5.11：
Singular Value Decomposition / 5.12：
Orthogonal Projection / 5.13：
Why Least Squares? / 5.14：
Angles between Subspaces / 5.15：
Determinants / 6.：
Additional Properties of Determinants / 6.1：
Eigenvalues and Eigenvectors / 7.：
Elementary Properties of Eigensystems / 7.1：
Diagonalization by Similarity Transformations / 7.2：
Functions of Diagonalizable Matrices / 7.3：
Systems of Differential Equations / 7.4：
Normal Matrices / 7.5：
Positive Definite Matrices / 7.6：
Nilpotent Matrices and Jordan Structure / 7.7：
Jordan Form / 7.8：
Functions of Nondiagonalizable Matrices / 7.9：
Difference Equations, Limits, and Summability / 7.10：
Minimum Polynomials and Krylov Methods / 7.11：
Perron-Frobenius Theory / 8.：
Positive Matrices / 8.1：
Nonnegative Matrices / 8.3：
Stochastic Matrices and Markov Chains / 8.4：
Index
Preface
Linear Equations / 1.：
Introduction / 1.1：
2.

図書
図書
2. The algebraic eigenvalue problem
by J.H. Wilkinson
出版情報: Oxford : Clarendon Press, 1965  xviii, 662 p. ; 25 cm
シリーズ名: Monographs on numerical analysis
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3.

図書
図書
3. Matrix theory and applications for engineers and mathematicians (: Ellis Horwood ; : Halsted Press)
Alexander Graham
出版情報: Chichester [Eng.] : E. Horwood , New York : Halsted Press, c1979  295 p. ; 23 cm
シリーズ名: Ellis Horwood series in mathematics and its applications
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4.

図書
図書
4. Geometry and combinatorics : selected works of J.J. Seidel
edited by D.G. Corneil and R. Mathon
出版情報: Boston ; Tokyo : Academic Press, c1991  xix, 410 p. ; 24 cm
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5.

図書
図書
5. Matrices and linear algebra
[by] Hans Schneider [and] George Phillip Barker
出版情報: New York : Holt, Rinehart and Winston, c1968  ix, 385 p ; 24 cm
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6.

図書
図書
6. Introduction to matrices and linear transformations
by Daniel T. Finkbeiner, II ; drawings by Evan Gillespie
出版情報: San Francisco : W.H. Freeman , Tokyo : Charles E. Tuttle, 1960  248 p.: ill. ; 22 cm
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7.

図書
図書
7. Introduction to matrix theory and linear algebra
Irving Reiner
出版情報: New York : Holt, Rinehart and Winston, c1971  v, 154 p ; 23 cm
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8.

図書
図書
8. Linear transformations and matrices. Preliminary edition
[by] F. A. Ficken
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1964  1v. ; 22 cm
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9.

図書
図書
9. Linear algebra and group theory
[by] V. I. Smirnov. Rev., adapted, and edited by Richard A. Silverman
出版情報: New York : [Dover Publications], 1970, c1961  x, 464 p ; 22 cm
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10.

図書
図書
10. Academician V.I.Smirnov's linear algebra and group theory. Revised, adapted, and edited by Richard A. Silverman
Smirnov, V. I. (Vladimir Ivanovich), 1887-1974 ; Silverman, Richard A.
出版情報: New York : McGraw-Hill, 1961  x, 464 p. ; 24 cm
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