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Matrices and Linear Algebra

Autor: Hans Schneider, George Philip Barker

Jazyk:

Väzba: Brožovaná

Vydavateľ: Dover Publications Inc.

Dostupnosť: Skladom u dodávateľa

Odosielame za 9-15 dní

12.96 €

Preface to the Second Edition; Preface to the First Edition 1. The Algebra of Matrices 1. Matrices...

Informácie o knihe

Autor

Hans Schneider, George Philip Barker

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

1989

Stránok

432

EAN

9780486660141

ISBN

0486660141

Enbook ID

02569629

Vydavateľ

Dover Publications Inc.

Hmotnosť

450

Rozmery

216 x 136 x 21

Kompletný popis

Preface to the Second Edition; Preface to the First Edition 1. The Algebra of Matrices 1. Matrices: Definitions 2. Addition and Scalar Multiplication of Matrices 3. Matrix Multiplication 4. Square Matrices, Inverses, and Zero Divisors 5. Transposes, Partitioning of Matrices, and Direct Sums 2. Linear Equations 1. Equivalent Systems of Equations 2. Row Operations on Matrices 3. Row Echelon Form 4. Homogeneous Systems of Equations 5. The Unrestricted Case: A Consistency Condition 6. The Unrestricted Case: A General Solution 7. Inverses of Nonsingular Matrices 3. Vector Spaces 1. Vectors and Vector Spaces 2. Subspaces and Linear Combinations 3. Linear Dependence and Linear Independence 4. Bases 5. Bases and Representations 6. Row Spaces of Matrices 7. Column Equivalence 8. Row-Column Equivalence 9. Equivalence Relations and Canonical Forms of Matrices 4. Determinants 1. Introduction as a Volume Function 2. Permutations and Permutation Matrices 3. Uniqueness and Existence of the Determinant Function 4. Practical Evaluation and Transposes of Determinants 5. Cofactors, Minors, and Adjoints 6. Determinants and Ranks 5. Linear Transformations 1. Definitions 2. Representation of Linear Transformations 3. Representations Under Change of Bases 6. Eigenvalues and Eigenvectors 1. Introduction 2. Relation Between Eigenvalues and Minors 3. Similarity 4. Algebraic and Geometric Multiplicites 5. Jordan Canonical Form 6. Functions of Matrices 7. Application: Markov Chains 7. Inner Produce Spaces 1. Inner Products 2. Representation of Inner Products 3. Orthogonal Bases 4. Unitary Equivalence and Hermitian Matrices 5. Congruence and Conjunctive Equivalence 6. Central Conics and Quadrics 7. The Natural Inverse 8. Normal Matrices 8. Applications to Differential Equations 1. Introduction 2. Homogeneous Differential Equations 3. Linear Differrential Equations: The Unrestricted Case 4. Linear Operators: The Global View Answers; Symbols; Index

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Matrices and Linear Algebra

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