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Elementary Linear Algebra

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Author(s): Marvin Marcus, Henryk Mine
Publisher: The Macmillan Company
Year: 1969

Language: English
City: London

Title
Preface
Numbering System
Contents
1. Introduction to Vector Spaces
1.1. Sets
1.2. Relations and functions
1.3. Linear functions
1.4. Vectors in a plane
1.5. Inner product of vectors in a plane
1.6. Vector spaces
2. Matrices
2.1. Matrix multiplication
2.2. Addition and scalar multiplication of matrices
2.3. Introduction to linear equations and rank
2.4. Rank and inverses
3. Determinants
3.1. The determinant function
3.2. Properties of determinants
4. Characteristic Roots
4.1. Vector spaces
4.2. Characteristic roots and characteristic vectors
4.3. Some special types of matrices
5. Quadratic Functions
5.1. Congruence
5.2. Abstract inner products
Answers and Solutions to Quizzes and Selected Exercises
Index of Symbols
Index