Anton H , Kaul A Elementary Linear Algebra 12ed 2020 torrent

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Elementary Linear Algebra gives an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. The aim is to present the fundamentals of linear algebra in the clearest possible way; pedagogy is the main consideration. Calculus is not a prerequisite, but there are clearly labeled exercises and examples (which can be omitted without loss of continuity) for students who have studied calculus.
About the Authors
Preface
Systems of Linear Equations and Matrices
Introduction to Systems of Linear Equations
Gaussian Elimination
Matrices and Matrix Operations
Inverses; Algebraic Properties of Matrices
Elementary Matrices and a Method for Finding A-
More on Linear Systems and Invertible Matrices
Diagonal, Triangular, and Symmetric Matrices
Introduction to Linear Transformations
Compositions of Matrix Transformations
Network Analysis
Electrical Circuits
Balancing Chemical Equations
Polynomial Interpolation
Leontief Input-Output Models
Determinants by Cofactor Expansion
Evaluating Determinants by Row Reduction
Properties of Determinants; Cramer's Rule
Vectors in -Space, -Space, and n-Space
Norm, Dot Product, and Distance in Rn
Orthogonality
The Geometry of Linear Systems
Cross Product
Real Vector Spaces
Subspaces
Spanning Sets
Linear Independence
Coordinates and Basis
Dimension
Change of Basis
Row Space, Column Space, and Null Space
Rank, Nullity, and the Fundamental Matrix Spaces
Eigenvalues and Eigenvectors
Diagonalization
Complex Vector Spaces
Differential Equations
Dynamical Systems and Markov Chains
Inner Products
Angle and Orthogonality in Inner Product Spaces
Gram–Schmidt Process; QR-Decomposition
Best Approximation; Least Squares
Mathematical Modeling Using Least Squares
Function Approximation; Fourier Series
Orthogonal Matrices
Orthogonal Diagonalization
Quadratic Forms
Optimization Using Quadratic Forms
Hermitian, Unitary, and Normal Matrices
General Linear Transformations
Compositions and Inverse Transformations
Isomorphism
Matrices for General Linear Transformations
Similarity
Geometry of Matrix Operators
LU-Decompositions
The Power Method
Comparison of Procedures for Solving Linear Systems
Singular Value Decomposition
Data Compression Using Singular Value Decomposition
Appendix A: Working with Proofs
Appendix B: Complex Numbers
Answers to Exercises
Index
EULA