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 l
Introduction to linear algebra
โ Scribed by Marcus M., Minc H.
- Publisher
- Dover
- Year
- 1988
- Tongue
- English
- Leaves
- 269
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
Rigorous, self-contained introduction at undergraduate level covers vector spaces and linear transformations, linear equations and determinants, characteristic roots. Includes 16 sets of true-false quizzes and exercises โ with worked-out solutions โ a complete theory of permutations and much more.
โฆ Table of Contents
Title......Page 1
Copyright......Page 3
Preface......Page 5
Contents......Page 7
1. Vector spaces......Page 9
2. Linear transformations......Page 22
3. Inner product......Page 36
4. Matrix representations......Page 53
5. Inverses......Page 72
1. Rank of a matrix......Page 85
2. Operations on matrices......Page 95
3. Linear equations......Page 107
4. Permutations......Page 116
5. Introduction to determinants......Page 127
6. Properties of determinants......Page 20
1. Characteristic roots and characteristic vectors......Page 151
2. Schur's theorem......Page 163
3. Normal matrices......Page 173
4. Hermitian matrices......Page 184
5. Matrix inequalities......Page 200
Answers and Solutions......Page 218
Index......Page 265
๐ SIMILAR VOLUMES
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
This 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
Linear Algebra with Applications is an introductory text targeted to second or advanced first year undergraduates in engineering or mathematics. The organization of this text is motivated by the authors' experience which tells them what essential concepts should be mastered by students in a one s