Elementary Linear Algebra 2nd Edition by Stewart Venit, Wayne Bishop 0176504583 9780176504588

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Product details:

• ISBN 10:0176504583

• ISBN 13:9780176504588

• Author:Stewart Venit, Wayne Bishop 

 Elementary Linear Algebra, Second Canadian Edition provides instructors with the mathematical rigor and content required in a university level mathematics course, while providing students with a modern approach, interesting applications, and clarity of explanation they require to be successful. In this second Canadian edition of Elementary Linear Algebra, the text has become even more engaging and readable for students, while continuing to be flexible for instructors.

Elementary Linear Algebra 2nd Table of contents:

CHAPTER 1 Systems of Linear Equations and Matrices
1.1 Introduction to Systems of Linear Equations
1.2 Gaussian Elimination
1.3 Matrices and Matrix Operations
1.4 Inverses; Algebraic Properties of Matrices
1.5 Elementary Matrices and a Method for Finding 
1.6 More on Linear Systems and Invertible Matrices
1.7 Diagonal,Triangular, and Symmetric Matrices
1.8 MatrixTransformations
1.9 Applications of Linear Systems
1.10 Leontief Input-Output Models
CHAPTER 2 Determinants
2.1 Determinants by Cofactor Expansion
2.2 Evaluating Determinants by Row Reduction
2.3 Properties of Determinants; Cramer’s Rule
CHAPTER 3 Euclidean Vector Spaces
3.1 Vectors in 2-Space, 3-Space, and 
3.2 Norm, Dot Product, and Distance in 
3.3 Orthogonality
3.4 The Geometry of Linear Systems
3.5 Cross Product
CHAPTER 4 General Vector Spaces
4.1 Real Vector Spaces
4.2 Subspaces
4.3 Linear Independence
4.4 Coordinates and Basis
4.5 Dimension
4.6 Change of Basis
4.7 Row Space, Column Space, and Null Space
4.8 Rank, Nullity, and the Fundamental Matrix Spaces
4.9 Basic Matrix Transformations in R2 and R3
4.10 Properties of Matrix Transformations
4.11 Geometry of Matrix Operators on R2
CHAPTER 5 Eigenvalues and Eigenvectors
5.1 Eigenvalues and Eigenvectors
5.2 Diagonalization
5.3 Complex Vector Spaces
5.4 Differential Equations
5.5 Dynamical Systems and Markov Chains
CHAPTER 6 Inner Product Spaces
6.1 Inner Products
6.2 Angle and Orthogonality … 

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