Page 14 - A Course in Linear Algebra with Applications
P. 14
CONTENTS
Preface to the Second Edition vii
Preface to the First Edition ix
Chapter One Matrix Algebra
1.1 Matrices 1
1.2 Operations with Matrices 6
1.3 Matrices over Rings and Fields 24
Chapter Two Systems of Linear Equations
2.1 Gaussian Elimination 30
2.2 Elementary Row Operations 41
2.3 Elementary Matrices 47
Chapter Three Determinants
3.1 Permutations and the Definition of a
Determinant 57
3.2 Basic Properties of Determinants 70
3.3 Determinants and Inverses of Matrices 78
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