Linear algebra, second edition [electronic resource] / Rao A. Ramachandra, P. Bhimasankaram.

Call Number	512.5
Author	Ramachandra, Rao A.
Title	Linear algebra, second edition Rao A. Ramachandra, P. Bhimasankaram.
Edition	2nd ed.
Physical Description	1 online resource (432 pages)
Series	Texts and Readings in Mathematics ; 19
Contents	Linear algebra, second edition -- Preface -- Suggestions for a One-Semester Course -- Contents -- Chapter 0: Preliminaries -- Chapter 1: Vector spaces -- Chapter 2: Algebra of Matrices -- Chapter 3: Rank and Inverse -- Chapter 4: Elementary Operations and Reduced Forms -- Chapter 5: Linear Equations -- Chapter 6: Determinants -- Chapter 7: Inner Product and Orthogonality -- Chapter 8: Eigenvalues -- Chapter 9: Quadratic Forms -- References -- More Hints and Solutions -- List of Symbols -- Index.
Summary	The vector space approach to the treatment of linear algebra is useful for geometric intuition leading to transparent proofs; it's also useful for generalization to infinite-dimensional spaces. The Indian School, led by Professors C. R. Rao and S. K. Mitra, successfully employed this approach. This book follows their approach and systematically develops the elementary parts of matrix theory, exploiting the properties of row and column spaces of matrices. Developments in linear algebra during the past few decades have brought into focus several techniques not included in basic texts, such as rank-factorization, generalized inverses, and singular value decomposition. These techniques are actually simple enough to be taught at the advanced undergraduate level. When properly used, they provide a better understanding of the topic and give simpler proofs, making the subject more accessible to students. This book explains these techniques. It is intended as a textbook for the advanced student of mathematics and/or statistics. It will also be useful for students of physics, computer science, engineering, operations research, and research scientists.
Added Author	Bhimasankaram, P., author
Subject	MATHEMATICS / General. Electronic books.
Multimedia	https://portal.igpublish.com/iglibrary/search/HBAB0000038.html

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$a Linear algebra, second edition -- Preface -- Suggestions for a One-Semester Course -- Contents -- Chapter 0: Preliminaries -- Chapter 1: Vector spaces -- Chapter 2: Algebra of Matrices -- Chapter 3: Rank and Inverse -- Chapter 4: Elementary Operations and Reduced Forms -- Chapter 5: Linear Equations -- Chapter 6: Determinants -- Chapter 7: Inner Product and Orthogonality -- Chapter 8: Eigenvalues -- Chapter 9: Quadratic Forms -- References -- More Hints and Solutions -- List of Symbols -- Index.

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$a The vector space approach to the treatment of linear algebra is useful for geometric intuition leading to transparent proofs; it's also useful for generalization to infinite-dimensional spaces. The Indian School, led by Professors C. R. Rao and S. K. Mitra, successfully employed this approach. This book follows their approach and systematically develops the elementary parts of matrix theory, exploiting the properties of row and column spaces of matrices. Developments in linear algebra during the past few decades have brought into focus several techniques not included in basic texts, such as rank-factorization, generalized inverses, and singular value decomposition. These techniques are actually simple enough to be taught at the advanced undergraduate level. When properly used, they provide a better understanding of the topic and give simpler proofs, making the subject more accessible to students. This book explains these techniques. It is intended as a textbook for the advanced student of mathematics and/or statistics. It will also be useful for students of physics, computer science, engineering, operations research, and research scientists.

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Summary	The vector space approach to the treatment of linear algebra is useful for geometric intuition leading to transparent proofs; it's also useful for generalization to infinite-dimensional spaces. The Indian School, led by Professors C. R. Rao and S. K. Mitra, successfully employed this approach. This book follows their approach and systematically develops the elementary parts of matrix theory, exploiting the properties of row and column spaces of matrices. Developments in linear algebra during the past few decades have brought into focus several techniques not included in basic texts, such as rank-factorization, generalized inverses, and singular value decomposition. These techniques are actually simple enough to be taught at the advanced undergraduate level. When properly used, they provide a better understanding of the topic and give simpler proofs, making the subject more accessible to students. This book explains these techniques. It is intended as a textbook for the advanced student of mathematics and/or statistics. It will also be useful for students of physics, computer science, engineering, operations research, and research scientists.
Contents	Linear algebra, second edition -- Preface -- Suggestions for a One-Semester Course -- Contents -- Chapter 0: Preliminaries -- Chapter 1: Vector spaces -- Chapter 2: Algebra of Matrices -- Chapter 3: Rank and Inverse -- Chapter 4: Elementary Operations and Reduced Forms -- Chapter 5: Linear Equations -- Chapter 6: Determinants -- Chapter 7: Inner Product and Orthogonality -- Chapter 8: Eigenvalues -- Chapter 9: Quadratic Forms -- References -- More Hints and Solutions -- List of Symbols -- Index.
Subject	MATHEMATICS / General. Electronic books.
Multimedia	https://portal.igpublish.com/iglibrary/search/HBAB0000038.html