دانلود کتاب Elementary Linear Algebra with Applications (9th Edition)

فهرست مطالب :

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