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Matrix methods an introduction.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Bronson, Richard
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, Academic Press [�1969]
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Bronson, Richard. 
245 1 0 |a Matrix methods  |b an introduction. 
260 |a New York,  |b Academic Press  |c [�1969] 
300 |a 1 online resource (xiii, 284 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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504 |a Includes bibliographical references (pages 279-280). 
506 |3 Use copy  |f Restrictions unspecified  |2 star  |5 MiAaHDL 
533 |a Electronic reproduction.  |b [Place of publication not identified] :  |c HathiTrust Digital Library,  |d 2011.  |5 MiAaHDL 
538 |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.  |u http://purl.oclc.org/DLF/benchrepro0212  |5 MiAaHDL 
583 1 |a digitized  |c 2011  |h HathiTrust Digital Library  |l committed to preserve  |2 pda  |5 MiAaHDL 
588 0 |a Print version record. 
505 0 |a Front Cover; Methods: An Introduction; Copyright Page; Table of Contents; Preface; Acknowledgments; CHAPTER 1. MATRICES; 1.1 Matrices; 1.2 Operations; 1.3 Matrix Multiplication-I; 1.4 Matrix Multiplication-II; 1.5 Special Matrices; 1.6 Submatrices and Partitioning; 1.7 Vectors; CHAPTER 2. DETERMINANTS; 2.1 Determinants; 2.2 Expansion by Cofactors; 2.3 Properties of Determinants; 2.4 Pivotal Condensation; 2.5 Cramer's Rule; CHAPTER 3. THE INVERSE; 3.1 The Inverse; 3.2 Simultaneous Equations; 3.3 Properties of the Inverse; 3.4 Another Method for Inversion; Appendix to Chapter 3 
505 8 |a CHAPTER 4. SIMULTANEOUS LINEAR EQUATIONS4.1 Linear Systems; 4.2 Solutions by Inversion; 4.3 Gaussian Elimination; 4.4 Linear Independence; 4.5 Rank; 4.6 Theory of Solutions; 4.7 Matrix Solutions; 4.8 Homogeneous Systems; CHAPTER 5. EIGENVALUES AND EIGENVECTORS; 5.1 Definitions; 5.2 Eigenvalues; 5.3 Eigenvectors; 5.4 Properties of Eigenvalues and Eigenvectors; 5.5 Linearly Independent Eigenvectors; CHAPTER 6. MATRIX CALCULUS; 6.1 Definitions; 6.2 Cayley-Hamilton Theorem; 6.3 Polynomials of Matrices-Distinct Eigenvalues; 6.4 Polynomials of Matrices-General Case; 6.5 Functions of a Matrix 
505 8 |a 6.6 The Function eAt6.7 Complex Eigenvalues; 6.8 Properties of eA; 6.9 Derivatives of a Matrix; Appendix to Chapter 6; CHAPTER 7. LINEAR DIFFERENTIAL EQUATIONS; 7.1 Fundamental Form; 7.2 Reduction of an nth Order Equation; 7.3 Reduction of a System; 7.4 Solutions of Systems with Constant Coefficients; 7.5 Examples; 7.6 Solutions of Systems-General Case; 7.7 Properties of the Transition Matrix; 7.8 The Adjoint System; Appendix to Chapter 7; CHAPTER 8. JORDAN CANONICAL FORMS; 8.1 Similar Matrices; 8.2 Diagonalizable Matrices; 8.3 Functions of Matrices-Diagonalizable Matrices 
505 8 |a 8.4 Generalized Eigenvectors8.5 Chains; 8.6 Canonical Basis; 8.7 Jordan Canonical Forms; 8.8 Functions of Matrices-General Case; 8.9 The Function eAt; Appendix to Chapter 8; CHAPTER 9. SPECIAL MATRICES; 9.1 Introduction; 9.2 Inner Products; 9.3 Orthonormal Vectors; 9.4 Self-Adjoint Matrices; 9.5 Real Symmetric Matrices; 9.6 Orthogonal Matrices; 9.7 Hermitian Matrices; 9.8 Unitary Matrices; 9.9 Summary; 9.10 Positive Definite Matrices; ANSWERS AND HINTS TO SELECTED PROBLEMS; References; Index 
546 |a English. 
650 0 |a Matrices. 
650 6 |a Matrices.  |0 (CaQQLa)201-0024157 
650 7 |a Matrices.  |2 fast  |0 (OCoLC)fst01012399 
650 7 |a Matrix  |g Mathematik  |2 gnd  |0 (DE-588)4037968-1 
650 7 |a Matrixverfahren  |2 gnd  |0 (DE-588)4169123-4 
776 0 8 |i Print version:  |a Bronson, Richard.  |t Matrix methods.  |d New York, Academic Press [�1969]  |w (DLC) 70097490  |w (OCoLC)59413 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780121352509  |z Texto completo