Author: Carl D. Meyer
Url: http://www.matrixanalysis.com/DownloadChapters.html
Format: Pdf
Category: Linear Algebra, Applied Mathematics
Pages: 710
TABLE OF CONTENTS (pdf format 92K)
http://www.matrixanalysis.com/TableOfContents.pdf Preface (pdf format 100K)
http://www.matrixanalysis.com/TableOfContents.pdf INDEX (pdf format 132K) http://www.matrixanalysis.com/Index.pdf Chapter 1, LINEAR EQUATIONS (pdf format 356K) http://www.matrixanalysis.com/Chapter1.pdfChapter 2, RECTANGULAR SYSTEMS AND ECHELON FORMS (pdf format 348K) 2.1 Row Echelon Form And Rank
2.2 The Reduced Row Echelon Form
2.3 Consistency Of Linear Systems
2.4 Homogeneous Systems
2.5 Nonhomogeneous Systems
2.6 Electrical Circuits
http://www.matrixanalysis.com/Chapter2.pdfChapter 3, MATRIX ALGEBRA (pdf format 616K) 3.1 From Ancient China To Arthur Cayley
3.2 Addition, Scalar Multiplication, And Transposition
3.3 Linearity
3.4 Why Do It This Way
3.5 Matrix Multiplication
3.6 Properties Of Matrix Multiplication
3.7 Matrix Inversion
3.8 Inverses Of Sums and Sensitivity
3.9 Elementary Matrices And Equivalence
3.10 The LU Factorization
http://www.matrixanalysis.com/Chapter3.pdfChapter 4, VECTOR SPACES (pdf format 724K) 4.1 Spaces And Subspaces
4.2 Four Fundamental Subspaces
4.3 Linear Independence
4.4 Basis And Dimension
4.5 More About Rank
4.6 Classical Least Squares
4.7 Linear Transformations
4.8 Change Of Basis And Similarity
4.9 Invariant Subspaces
http://www.matrixanalysis.com/Chapter4.pdf Chapter 5, NORMS, INNER PRODUCTS, AND ORTHOGONALITY (pdf format 1.2M)
5.1 Vector Norms
5.2 Matrix Norms
5.3 Inner Product Spaces
5.4 Orthogonal Vectors
5.5 Gram ÐSchmidt Procedure
5.6 Unitary and Orthogonal Matrices
5.7 Orthogonal Reduction
5.8 The Discrete Fourier Transform
5.9 Complementary Subspaces
5.10 Range-Nullspace Decomposition
5.11 Orthogonal Decomposition
5.12 Singular Value Decomposition
5.13 Orthogonal Projection
5.14 Why Least Squares?
5.15 Angles Between Subspaces
http://www.matrixanalysis.com/Chapter5.pdfChapter 6, DETERMINANTS (pdf format 352K) http://www.matrixanalysis.com/Chapter6.pdfChapter 7, EIGENVALUES AND EIGENVECTORS (pdf format 1.1M) 7.1 Elementary Properties Of Eigensystems
7.2 Diagonalization by Similarity Transformations
7.3 Functions Of Diagonalizable Matrices
7.4 Systems Of Differential Equations
7.5 Normal Matrices
7.6 Positive Definite Matrices
7.7 Nilpotent Matrices and Jordan Structure
7.8 The Jordan Form
7.9 Functions Of Non-diagonalizable Matrices
7.10 Difference Equations, Limits, And Summability
7.11 Minimum Polynomials and Krylov Methods
http://www.matrixanalysis.com/Chapter7.pdf Chapter 8, Perron-Frobenius Theory Of Nonnegative Matrices (pdf format 440K)
http://www.matrixanalysis.com/Chapter8.pdfSolutions Manual (pdf format 952K) http://www.matrixanalysis.com/SolutionsManual.pdfيهمنا انضمامكم الينا .
