Elementary linear algebra

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• ELEMENTARY LINEAR ALGEBRA K. R. MATTHEWS
• Chapter 1 LINEAR EQUATIONS
• 1.1 Introduction to linear equations
• 1.2 Solving linear equations
• 1.3 The Gauss{Jordan algorithm
• 1.4. SYSTEMATIC SOLUTION OF LINEAR SYSTEMS. 9
• 1.5 Homogeneous systems
• 1.6 PROBLEMS
• Chapter 2 MATRICES
• 2.1 Matrix arithmetic
• 2.2 Linear transformations
• 2.3 Recurrence relations
• 2.4 PROBLEMS
• 2.5 Non{singular matrices
• 2.6 Least squares solution of equations
• 2.7 PROBLEMS
• Chapter 3 SUBSPACES
• 3.1 Introduction
• 3.2 Subspaces of Fn
• 3.3 Linear dependence
• 3.4 Basis of a subspace
• 3.5 Rank and nullity of a matrix
• 3.6 PROBLEMS
• Chapter 4 DETERMINANTS
• 4.1 PROBLEMS
• Chapter 5 COMPLEX NUMBERS
• 5.1 Constructing the complex numbers
• 5.2 Calculating with complex numbers
• 5.3 Geometric representation of C
• 5.4 Complex conjugate
• 5.5 Modulus of a complex number
• 5.6 Argument of a complex number
• 5.8 PROBLEMS
• Chapter 6 EIGENVALUES AND EIGENVECTORS
• 6.1 Motivation
• 6.2 De¯nitions and examples
• 6.3 PROBLEMS
• Chapter 7 Identifying second degree equations
• 7.1 The eigenvalue method
• 7.2 A classi¯cation algorithm
• 7.3 PROBLEMS
• Chapter 8 THREE{DIMENSIONAL GEOMETRY
• 8.1 Introduction
• 8.2 Three{dimensional space
• 8.3 Dot product
• 8.4 Lines
• 8.5 The angle between two vectors
• 8.6 The cross{product of two vectors
• 8.7 Planes
• 8.8 PROBLEMS
• Chapter 9 FURTHER READING
• Bibliography
• Index
• CONTENTS

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