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Introduction to linear algebra

โœ Scribed by Marcus M., Minc H.


Publisher
Dover
Year
1988
Tongue
English
Leaves
269
Category
Library

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โœฆ 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.

โœฆ 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


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