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Linear Algebra With Applications

Linear Algebra With Applications - 7th edition

ISBN13: 978-0131857858

Cover of Linear Algebra With Applications 7TH 06 (ISBN 978-0131857858)
ISBN13: 978-0131857858
ISBN10: 0131857851
Cover type: Hardback
Edition/Copyright: 7TH 06
Publisher: Prentice Hall, Inc.
Published: 2006
International: No

List price: $141.50

Linear Algebra With Applications - 7TH 06 edition

ISBN13: 978-0131857858

Steven J. Leon

ISBN13: 978-0131857858
ISBN10: 0131857851
Cover type: Hardback
Edition/Copyright: 7TH 06
Publisher: Prentice Hall, Inc.

Published: 2006
International: No

Table of Contents

1. Matrices and Systems of Equations.
Systems of Linear Equations. Row Echelon Form. Matrix Algebra. Elementary Matrices. Partitioned Matrices. Matlab Exercises. Chapter Test.
2. Determinants.
The Determinant of a Matrix. Properties of Determinants. Cramer's Rule. Matlab Exercises. Chapter Test.
3. Vector Spaces.
Definition and Examples. Subspaces. Linear Independence. Basis and Dimension. Change of Basis. Row Space and Column Space. Matlab Exercises. Chapter Test.
4. Linear Transformations.
Definition and Examples. Matrix Representations of Linear Transformations. Similarity. Matlab Exercises. Chapter Test.
5. Orthogonality.
The Scalar Product in Rn. Orthogonal Subspaces. Least Squares Problems. Inner Product Spaces. Orthonormal Sets. The Gram-Schmidt Orthogonalization Process. Orthogonal Polynomials. Matlab Exercises. Chapter Test.
6. Eigenvalues.
Eigenvalues and Eigenvectors. Systems of Linear Differential Equations. Diagonalization. Hermitian Matrices. The Singular Value Decomposition. Quadratic Forms. Positive Definite Matrices. Nonnegative Matrices. Matlab Exercises. Chapter Test.
7. Numerical Linear Algebra.
Floating-Point Numbers. Gaussian Elimination. Pivoting Strategies. Matrix Norms and Condition Numbers. Orthogonal Transformations. The Eigenvalue Problem. Least Squares Problems. Matlab Exercises. Chapter Test.
8. Iterative Methods. On the website, as pdfs.
9. Jordan Canonical Form. On the website, as pdfs