Elementary Linear Algebra with Applications (9th Edition)

✍ Scribed by Bernard Kolman, David Hill

• Publisher: Prentice Hall
• Year: 2007
• Tongue: English
• Leaves: 708
• Edition: 9
• Category: Library

✦ Synopsis

This book presents the basic ideas of linear algebra in a manner that users will find understandable. It offers a fine balance between abstraction/theory and computational skills, and gives readers an excellent opportunity to learn how to handle abstract concepts. Included in this comprehensive and easy-to-follow manual are these topics: linear equations and matrices; solving linear systems; real vector spaces; inner product spaces; linear transformations and matrices; determinants; eigenvalues and eigenvectors; differential equations; and MATLAB for linear algebra. Because this book gives real applications for linear algebraic basic ideas and computational techniques, it is useful as a reference work for mathematicians and those in field of computer science.

✦ Table of Contents

Elementary Linear Algebra with Applications, 9th Edition
......Page 1
Copyright
......Page 2
Preface
......Page 6
To the Student
......Page 12
1.1 - Systems of Linear Equat
ions......Page 14
1.2 - Matrices
......Page 24
1.3 - Matrix Multiplication
......Page 34
1.4 - Algebraic Properties of Matrix Operations
......Page 47
1.5 - Special Types of Matrices and Partitioned Matrices
......Page 55
1.6 - Matrix Transformations......Page 68
1.7 - Computer Graphics (Optional)
......Page 76
1.8 - Correlation Coefficient (Optional)
......Page 86
Supplementary Exercises
......Page 93
2.1 - Echelon Form of a Matrix
......Page 99
2.2 - Solving Linear Systems
......Page 108
2.3 - Elementary Matrices; Finding ^{-1}
......Page 130
2.4 - Equivalent Matrices
......Page 139
2.5 - LU-Factorization (Optional)
......Page 143
Supplementary Exercises
......Page 150
3.1 - Definition
......Page 154
3.2 - Properties of Determinants
......Page 159
3.3 - Cofactor Expansion
......Page 170
3.4 - Inverse of a Matrix
......Page 178
3.5 - Other Applications of Determinants
......Page 182
3.6 - Determinants from a Computational Point of View
......Page 185
Supplementary Exercises
......Page 187