Linear algebra and its applications by Gilbert Strang
Material type: TextPublication details: New Delhi : Cengage Learning, 2014cEdition: 4th edDescription: iv, 487p. : ill. ; 24 cmISBN: 9788131501726 (pbk)Subject(s): AlgebrasDDC classification: 512.5Item type | Current library | Call number | Copy number | Status | Date due | Barcode | Item holds |
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512.5 STR-L 2012 360 Linear algebra and its applications | 512.5 STR-L 2012 4421 Linear algebra and its applications | 512.5 STR-L 2012 4422 Linear algebra and its applications | 512.5 STR-L 2012 4423 Linear algebra and its applications | 512.5 STR-L 2012 989 Linear algebra and its applications | 512.5 STR-L 2014 5041 Linear algebra and its applications | 512.5 STR-L 2014 5042 Linear algebra and its applications |
Index included
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.
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