University Sétif 1 FERHAT ABBAS Faculty of Sciences
Détail de l'auteur
Auteur Ron Larson |
Documents disponibles écrits par cet auteur
Ajouter le résultat dans votre panier Affiner la recherche
Elementary linear algebra / Ron Larson
Titre : Elementary linear algebra Type de document : texte imprimé Auteurs : Ron Larson ; Bruce H. Edwards Editeur : Lexington, Mass. : D.C. Heath Année de publication : 1988 Importance : 1 vol (471, 62 p.) Présentation : ill. Format : 25 cm ISBN/ISSN/EAN : 978-0-669-14583-0 Catégories : Mathématique Mots-clés : Algèbre linéaire Index. décimale : 512.5 Algèbre linéaire Résumé : Includes index. Note de contenu :
Sommaire
1. SYSTEMS OF LINEAR EQUATIONS
Introduction to Systems of Equations.
Gaussian Elimination and Gauss-Jordan Elimination.
Applications of Systems of Linear Equations.
2. MATRICES.
Operations with Matrices.
Properties of Matrix Operations.
The Inverse of a Matrix.
Elementary Matrices.
Applications of Matrix Operations.
3. DETERMINANTS. The Determinant of a Matrix.
Evaluation of a Determinant Using Elementary Operations.
Properties of Determinants.
Applications of Determinants.
4. VECTOR SPACES.
Vectors in Rn.
Vector Spaces. Subspaces of Vector Spaces.
Spanning Sets and Linear Independence.
Basis and Dimension.
Rank of a Matrix and Systems of Linear Equations.
Coordinates and Change of Basis.
Applications of Vector Spaces.
5. INNER PRODUCT SPACES.
Length and Dot Product in Rn.
Inner Product Spaces. Orthogonal Bases: Gram-Schmidt Process.
Mathematical Models and Least Squares Analysis.
Applications of Inner Product Spaces.
6. LINEAR TRANSFORMATIONS.
Introduction to Linear Transformations.
The Kernel and Range of a Linear Transformation.
Matrices for Linear Transformations.
Transition Matrices and Similarity.
Applications of Linear Transformations.
7. EIGENVALUES AND EIGENVECTORS.
Eigenvalues and Eigenvectors.
Diagonalization.
Symmetric Matrices and Orthogonal Diagonalization.
Applications of Eigenvalues and Eigenvectors.
8. NUMERICAL METHODS .
Gaussian Elimination with Partial Pivoting.
Iterative Methods for Solving Linear Systems.
Power Method for Approximating Eigenvalues.
Applications of Numerical Methods.
indexCôte titre : Fs/14323 Elementary linear algebra [texte imprimé] / Ron Larson ; Bruce H. Edwards . - Lexington, Mass. : D.C. Heath, 1988 . - 1 vol (471, 62 p.) : ill. ; 25 cm.
ISBN : 978-0-669-14583-0
Catégories : Mathématique Mots-clés : Algèbre linéaire Index. décimale : 512.5 Algèbre linéaire Résumé : Includes index. Note de contenu :
Sommaire
1. SYSTEMS OF LINEAR EQUATIONS
Introduction to Systems of Equations.
Gaussian Elimination and Gauss-Jordan Elimination.
Applications of Systems of Linear Equations.
2. MATRICES.
Operations with Matrices.
Properties of Matrix Operations.
The Inverse of a Matrix.
Elementary Matrices.
Applications of Matrix Operations.
3. DETERMINANTS. The Determinant of a Matrix.
Evaluation of a Determinant Using Elementary Operations.
Properties of Determinants.
Applications of Determinants.
4. VECTOR SPACES.
Vectors in Rn.
Vector Spaces. Subspaces of Vector Spaces.
Spanning Sets and Linear Independence.
Basis and Dimension.
Rank of a Matrix and Systems of Linear Equations.
Coordinates and Change of Basis.
Applications of Vector Spaces.
5. INNER PRODUCT SPACES.
Length and Dot Product in Rn.
Inner Product Spaces. Orthogonal Bases: Gram-Schmidt Process.
Mathematical Models and Least Squares Analysis.
Applications of Inner Product Spaces.
6. LINEAR TRANSFORMATIONS.
Introduction to Linear Transformations.
The Kernel and Range of a Linear Transformation.
Matrices for Linear Transformations.
Transition Matrices and Similarity.
Applications of Linear Transformations.
7. EIGENVALUES AND EIGENVECTORS.
Eigenvalues and Eigenvectors.
Diagonalization.
Symmetric Matrices and Orthogonal Diagonalization.
Applications of Eigenvalues and Eigenvectors.
8. NUMERICAL METHODS .
Gaussian Elimination with Partial Pivoting.
Iterative Methods for Solving Linear Systems.
Power Method for Approximating Eigenvalues.
Applications of Numerical Methods.
indexCôte titre : Fs/14323 Exemplaires (1)
Code-barres Cote Support Localisation Section Disponibilité Fs/14323 Fs/14323 Livre Bibliothéque des sciences Français Disponible
Disponible