| Description |
xii, 505 pages : illustrations ; 24 cm |
| Contents |
Matrices and Gaussian Elimination -- The Geometry of Linear Equations -- An Example of Gaussian Elimination -- Matrix Notation and Matrix Multiplication -- Triangular Factors and Row Exchanges -- Inverses and Transposes -- Special Matrices and Applications -- Vector Spaces -- Vector Spaces and Subspaces -- Solving Ax = 0 and Ax = b -- Linear Independence, Basis, and Dimension -- The Four Fundamental Subspaces -- Graphs and Networks -- Linear Transformations -- Orthogonality -- Orthogonal Vectors and Subspaces -- Cosines and Projections onto Lines -- Projections and Least Squares -- Orthogonal Bases and Gram-Schmidt -- The Fast Fourier Transform -- Determinants -- Properties of the Determinant -- Formulas for the Determinant -- Applications of Determinants -- Eigenvalues and Eigenvectors -- Diagonalization of a Matrix -- Difference Equations and Powers A[superscript k] -- Differential Equations and e[superscript At] -- Complex Matrices -- Similarity Transformations -- Positive Definite Matrices -- Minima, Maxima, and Saddle Points -- Tests for Positive Definiteness -- Singular Value Decomposition -- Minimum Principles -- The Finite Element Method -- Computations with Matrices -- Matrix Norm and Condition Number -- Computation of Eigenvalues -- Iterative Methods for Ax = b -- Linear Programming and Game Theory -- Linear Inequalities -- The Simplex Method -- The Dual Problem -- Network Models -- Game Theory -- Intersection, Sum, and Product of Spaces -- The Jordan Form -- Matrix Factorizations |
| Notes |
Includes index |
| Bibliography |
Bibliography: page [472] |
| Subject |
Algebraic logic.
|
|
Algebras, Linear -- Data processing.
|
|
Algebras, Linear.
|
|
Matrices.
|
|
Matrix logic.
|
| LC no. |
87083019 |
| ISBN |
0155510053 |
|
