Elementary linear algebra Metric version 8th Edition by Ron Larson 1337556211 978-1337556217

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Product details:

ISBN-10 ‏ : ‎1337556211 

ISBN-13 :  978-1337556217

Author : Ron Larson 

ELEMENTARY LINEAR ALGEBRA, 8E, INTERNATIONAL METRIC EDITION”s clear, careful, and concise presentation of material helps you fully understand how mathematics works. The author balances theory with examples, applications, and geometric intuition for a complete, step-by-step learning system. To engage you in the material, a new design highlights the relevance of the mathematics and makes the book easier to read. Data and applications reflect current statistics and examples, demonstrating the link between theory and practice. The companion website LarsonLinearAlgebra.com offers free access to multiple study tools and resources. CalcChat.com offers free step-by-step solutions to the odd-numbered exercises in the text.

 

Elementary linear algebra Metric version 8th Table of contents:

Chapter 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
Review Exercises
Project 1 Graphing Linear Equations
Project 2 Underdetermined and Overdetermined Systems

Chapter 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 Markov Chains
2.6 More Applications of Matrix Operations
Review Exercises
Project 1 Exploring Matrix Multiplication
Project 2 Nilpotent Matrices

Chapter 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
Review Exercises
Project 1 Stochastic Matrices
Project 2 The Cayley-Hamilton Theorem
Cumulative Test for Chapters 1–3

Chapter 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
Review Exercises
Project 1 Solutions of Linear Systems
Project 2 Direct Sum

Chapter 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
Review Exercises
Project 1 The QR-Factorization
Project 2 Orthogonal Matrices and Change of Basis
Cumulative Test for Chapters 4 and 5

Chapter 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
Review Exercises
Project 1 Reflections in R2 (I)
Project 2 Reflections in R2 (II)

Chapter 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
Review Exercises
Project 1 Population Growth and Dynamical Systems (I
Project 2 The Fibonacci Sequence
Cumulative Test for Chapters 6 and 7

 

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