Elementary Linear Algebra 7th Edition by Ron Larson 1133110878 9781133110873

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Product details:

• ISBN 10: 1133110878 

• ISBN 13: 9781133110873

• Author: Ron Larso 

 The cornerstone of ELEMENTARY LINEAR ALGEBRA is the authors’ clear, careful, and concise presentation of material–written so that readers can fully understand how mathematics works. This program balances theory with examples, applications, and geometric intuition for a complete, step-by-step learning system. Featuring a new design that highlights the relevance of the mathematics and improves readability, the Seventh Edition also incorporates new conceptual Capstone exercises that reinforce multiple concepts in each section. Data and applications reflect current statistics and examples to engage users and demonstrate the link between theory and practice.

Elementary Linear Algebra 7th Table of contents:

 Ch 1: Systems of Linear Equations
1.1 Introduction to Systems of Linear Equations
1.2 Gaussian Elimination and Gauss-Jordan Elimination
1.3 Applications of Systems of Linear Equations
1 Review Exercises
1 Projects
Ch 2: Matrices
2.1 Operations with Matrices
2.2 Properties of Matrix Operations
2.3 The Inverse of a Matrix
2.4 Elementary Matrices
2.5 Applications of Matrix Operations
2 Review Exercises
2 Projects
Ch 3: Determinants
3.1 The Determinant of a Matrix
3.2 Determinants and Elementary Operations
3.3 Properties of Determinants
3.4 Applications of Determinants
3 Review Exercises
3 Projects
Cumulative Test for Chapters 1–3
Ch 4: Vector Spaces
4.1 Vectors in Rn
4.2 Vector Spaces
4.3 Subspaces of Vector Spaces
4.4 Spanning Sets and Linear Independence
4.5 Basis and Dimension
4.6 Rank of a Matrix and Systems of Linear Equations
4.7 Coordinates and Change of Basis
4.8 Applications of Vector Spaces
4 Review Exercises
4 Projects
Ch 5: Inner Product Spaces
5.1 Length and Dot Product in Rn
5.2 Inner Product Spaces
5.3 Orthonormal Bases: Gram-Schmidt Process
5.4 Mathematical Models and Least Squares Analysis
5.5 Applications of Inner Product Spaces
5 Review Exercises
5 Projects
Cumulative Test for Chapters 4 and 5
Ch 6: Linear Transformations
6.1 Introduction to Linear Transformations
6.2 The Kernel and Range of a Linear Transformation
6.3 Matrices for Linear Transformations
6.4 Transition Matrices and Similarity
6.5 Applications of Linear Transformations
6 Review Exercises
6 Projects
Ch 7: Eigenvalues and Eigenvectors
7.1 Eigenvalues and Eigenvectors
7.2 Diagonalization
7.3 Symmetric Matrices and Orthogonal Diagonalization
7.4 Applications of Eigenvalues and Eigenvectors
7 Review Exercises
7 Projects
Cumulative Test for Chapters 6 and 7
Appendix: Mathematical Induction and Other Forms of Proofs
Exercises
Answers to Selected Odd-Numbered Exercises
Index

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