Linear Algebra
By addebook • Jul 14th, 2008 • Category: Mathematics •
•
Linear Algebra
by David Bayer
An incomplete draft of a textbook on linear algebra book to be published.
Also includes the workbook “Atlas of Matrices”
Contents
Preface
Introduction v
1 Systems of equations 1
2 Linear maps 3
3 Vector spaces 5
4 Determinants 7
5 Coordinates 9
6 Polynomials 11
6.1 Modular arithmetic 12
6.2 Polynomial interpolation 21
6.3 Interpolation mod p(x) 25
7 Functions of matrices 33
7.1 Polynomials and power series 33
7.2 The characteristic polynomial 39
7.3 Rings and fields 42
7.4 Diagonal and triangular forms 46
7.5 The Cayley-Hamilton Theorem 46
7.6 Repeated roots 52
8 Inner products 55
Index 57
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290 KB (297,472 bytes) Linear Algebra - (text)
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