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线性代数 （英文版·第6版）=Linear Algebra with ApplicationsPDF|Epub|txt|kindle电子书版本下载
- Sixth Edition 著
- 出版社：
- ISBN：
- 出版时间：2004
- 标注页数：0页
- 文件大小：139MB
- 文件页数：561页
- 主题词：
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图书目录
1 MATRICES AND SYSTEMS OF EQUATIONS1
1 Systems of Linear Equations1
2 Row Echelon Form13
3 Matrix Algebra33
4 Elementary Matrices67
5 Partitioned Matrices79
MATLAB Exercises91
Chapter Test97
2 DETERMINANTS99
1 The Determinant of a Matrix99
2 Properties of Determinants107
3 Cramer's Rule115
MATLAB Exercises121
Chapter Test123
3 VECTOR SPACES125
1 Definition and Examples125
2 Subspaces134
3 Linear Independence144
4 Basis and Dimension156
5 Change of Basis163
6 Row Space and Column Space174
MATLAB Exercises184
Chapter Test186
4 LINEAR TRANSFORMATIONS188
1 Definition and Examples188
2 Matrix Representations of Linear Transformations198
3 Similarity212
MATLAB Exercises220
Chapter Test221
5 ORTHOGONALITY223
1 The Scalar Product in Rn224
2 Orthogonal Subspaces239
3 Least Squares Problems249
4 Inner Product Spaces260
5 Orthonormal Sets270
6 The Gram-Schmidt Orthogonalization Process290
7 Orthogonal Polynomials299
MATLAB Exercises307
Chapter Test310
6 EIGENVALUES312
1 Eigenvalues and Eigenvectors313
2 Systems of Linear Differential Equations326
3 Diagonalization339
4 Hermitian Matrices355
5 The Singular Value Decomposition367
6 Quadratic Forms382
7 Positive Definite Matrices397
8 Nonnegative Matrices405
MATLAB Exercises412
Chapter Test421
7 NUMERICAL LINEAR ALGEBRA422
1 Floating-Point Numbers423
2 Gaussian Elimination427
3 Pivoting Strategies436
4 Matrix Norms and Condition Numbers442
5 Orthogonal Transformations458
6 The Eigenvalue Problem470
7 Least Squares Problems482
MATLAB Exercises494
Chapter Test503
8 ITERATIVE METHODS Web505
9 JORDAN CANONICAL FORM Web505
APPENDIX:MATLAB505
BIBLIOGRAPHY517
ANSWERS TO SELECTED EXERCISES520
INDEX540