Ebook: Introduction to Linear Algebra

Second Edition

S. Lang

Introduction to Linear Algebra

"Excellent! Rigorous yet straightforward, all answers included!"—Dr. J. Adam, Old Dominion University

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This book is a short text in linear algebra, intended for a one-term course. In the first chapter, Lang discusses the relation between the geometry and the algebra underlying the subject, and gives concrete examples of the notions which appear later in the book. He then starts with a discussion of linear equations, matrices and Gaussian elimination, and proceeds to discuss vector spaces, linear maps, scalar products, determinants, and eigenvalues. The book contains a large number of exercises, some of the routine computational type, and others are conceptual.

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This book is a short text in linear algebra, intended for a one-term course. In the first chapter, Lang discusses the relation between the geometry and the algebra underlying the subject, and gives concrete examples of the notions which appear later in the book. He then starts with a discussion of linear equations, matrices and Gaussian elimination, and proceeds to discuss vector spaces, linear maps, scalar products, determinants, and eigenvalues. The book contains a large number of exercises, some of the routine computational type, and others are conceptual.
Content:
Front Matter....Pages i-viii
Vectors....Pages 1-41
Matrices and linear Equations....Pages 42-87
Vector Spaces....Pages 88-122
Linear Mappings....Pages 123-157
Composition and Inverse Mappings....Pages 158-170
Scalar Products and Orthogonality....Pages 171-194
Determinants....Pages 195-232
Eigenvectors and Eigenvalues....Pages 233-264
Back Matter....Pages 265-293

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This book is a short text in linear algebra, intended for a one-term course. In the first chapter, Lang discusses the relation between the geometry and the algebra underlying the subject, and gives concrete examples of the notions which appear later in the book. He then starts with a discussion of linear equations, matrices and Gaussian elimination, and proceeds to discuss vector spaces, linear maps, scalar products, determinants, and eigenvalues. The book contains a large number of exercises, some of the routine computational type, and others are conceptual.
Content:
Front Matter....Pages i-viii
Vectors....Pages 1-41
Matrices and linear Equations....Pages 42-87
Vector Spaces....Pages 88-122
Linear Mappings....Pages 123-157
Composition and Inverse Mappings....Pages 158-170
Scalar Products and Orthogonality....Pages 171-194
Determinants....Pages 195-232
Eigenvectors and Eigenvalues....Pages 233-264
Back Matter....Pages 265-293
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