Linear Algebra with Applications, 10th edition
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Overview
Now delivered digitally, Linear Algebra with Applications is a thorough, accessible introduction to linear algebra that encourages a challenging and broad understanding of the subject. A leading figure in using technology for linear algebra, Steve Leon is now joined by new coauthor Lisette de Pillis, who brings her passion for teaching and solving realworld problems to the 10th Edition. Transformed from print to a digitalbased tool, it is packed with features such as interactive figures that bring content to life. This change in format supports the authors' hallmark of using modern practical application to make key concepts tangible and demonstrating how mathematics is used in the real world. Each chapter contains integrated worked examples, practical applications, computer exercises and chapter tests. The important roles played by geometry and visualization in understanding linear algebra are emphasized. Calculus is assumed as a prerequisite.
Published by Pearson (June 3rd 2019)  Copyright © 2020
ISBN13: 9780135240960
Subject: Advanced Math
Category: Linear Algebra
Overview
 Matrices and Systems of Equations
 1.1 Systems of Linear Equations
 1.2 Row Echelon Form
 1.3 Matrix Arithmetic
 1.4 Matrix Algebra
 1.5 Elementary Matrices
 1.6 Partitioned Matrices
 MATLAB Exercises
 Chapter Test A: True or False
 Chapter Test B
 Determinants
 2.1 The Determinant of a Matrix
 2.2 Properties of Determinants
 2.3 Additional Topics and Applications
 MATLAB Exercises
 Chapter Test A: True or False
 Chapter Test B
 Vector Spaces
 3.1 Definition and Examples
 3.2 Subspaces
 3.3 Linear Independence
 3.4 Basis and Dimension
 3.5 Change of Basis
 3.6 Row Space and Column Space
 MATLAB Exercises
 Chapter Test A: True or False
 Chapter Test B
 Linear Transformations
 4.1 Definition and Examples
 4.2 Matrix Representations of Linear Transformations
 4.3 Similarity
 MATLAB Exercises
 Chapter Test A: True or False
 Chapter Test B
 Orthogonality
 5.1 The Scalar Product in Rn
 5.2 Orthogonal Subspaces
 5.3 Least Squares Problems
 5.4 Inner Product Spaces
 5.5 Orthonormal Sets
 5.6 The Gram–Schmidt Orthogonalization Process
 5.7 Orthogonal Polynomials
 MATLAB Exercises
 Chapter Test A: True or False
 Chapter Test B
 Eigenvalues
 6.1 Eigenvalues and Eigenvectors
 6.2 Systems of Linear Differential Equations
 6.3 Diagonalization
 6.4 Hermitian Matrices
 6.5 The Singular Value Decomposition
 6.6 Quadratic Forms
 6.7 Positive Definite Matrices
 6.8 Nonnegative Matrices
 MATLAB Exercises
 Chapter Test A: True or False
 Chapter Test B
 Numerical Linear Algebra
 7.1 FloatingPoint Numbers
 7.2 Gaussian Elimination
 7.3 Pivoting Strategies
 7.4 Matrix Norms and Condition Numbers
 7.5 Orthogonal Transformations
 7.6 The Eigenvalue Problem
 7.7 Least Squares Problems
 7.8 Iterative Methods
 MATLAB Exercises
 Chapter Test A: True or False
 Chapter Test B
 Canonical Forms
 8.1 Nilpotent Operators
 8.2 The Jordan Canonical Form
Appendix: MATLAB
Bibliography
Answers to Selected Exercises
Index
Your questions answered
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