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Lectures on Linear Algebra over Division Ring
This note contains below topics, Lectures on Linear Algebra over Division Ring, Biring of Matrices, Representation of Universal Algebra, Representation of Group, Vector Space over Division Ring, Basis Manifold, Linear Map of RcdVector Space, Product of Representations, Geometry of Division Ring.
Author(s): Aleks Kleyn
321 Pages 
This book contains below topics, Vector Spaces, Finite Dimensional Vector Spaces, Linear Maps, Polynomials, Eigenvalues and Eigenvectors, Inner Product Spaces, Operators on Inner Product Spaces, Operators on Complex Vector Spaces, Operators on Real Vector Spaces, Trace and Determinant.
Author(s): Sheldon Axler
404 Pages
This book contains below topics, Systems of Linear Equations, Vectors, Matrices, Linear Transformations, Vector Spaces, Determinants, Eigenvalues and Eigenvectors, Orthogonality.
Author(s): David Cherney, Tom Denton, Rohit Thomas, Andrew Waldron
395 Pages
This book contains below topics, Systems of Linear Equations, Row Reduction, Vector Geometry, Linear Transformations, Eigenvalues, Orthogonality, Determinants.
Author(s): Dan Margalit and Joseph Rabinoff
455 Pages
Lecture Notes on Randomized Linear Algebra
This note contains below topics, Approximating Matrix Multiplication, Scalar and Matrix Concentration, Concentration and Matrix Multiplication, Matrix Multiplication and Random Projections, Sampling and Projections for Least squares Approximation, Fast Random Projections and FJLT, Randomized Least squares Approximation in Practice, Additive error Low rank Matrix Approximation, Relative error Low rank Matrix Approximation, Randomized Low rank Approximation in Practice, Low rank Matrix Approximation with Element wise Sampling, Element wise Sampling and Matrix Completion, Element wise Sampling of Graphs and Linear Equation Solving.
Author(s): Michael W. Mahoney
188 Pages
Advanced Linear Algebra by David Surowski
This note explains the following topics, Eigenvalues and Eigenvectors, The spectral theorem, Tensor Products, Fourier Analysis and Quadrtic Reciprocity.
Author(s): David Surowski
157 Pages
A Brief Introduction to Linear Algebra
This note covers the following topics, Linear Algebra, Matrix Algebra, Homogeneous Systems and Vector Subspaces, Basic Notions, Determinants and Eigenvalues, Diagonalization, The Exponential of a Matrix, Applications,Real Symmetric Matrices, Classification of Conics and Quadrics, Conics and the Method of Lagrange Multipliers, Normal Modes.
Author(s): Leonard Evens
NA Pages
Linear Algebra A free Linear Algebra Textbook and Online Resource
This textbook is suitable for a sophomore level linear algebra course taught in about twentyfive lectures. It is designed both for engineering and science majors, but has enough abstraction to be useful for potential math majors. Our goal in writing it was to produce students who can perform computations with linear systems and also understand the concepts behind these computations.
Author(s): David Cherney, Tom Denton, Rohit Thomas and Andrew Waldron
436 Pages
Exercises and Problems in Linear Algebra
This collection of exercises is designed to provide a framework for discussion in a junior level linear algebra class conducted fairly regularly at Portland State University. Topics covered includes, Matrices And Linear Equations, Vector Spaces, Linear Maps Between Vector Spaces, Spectral Theory Of Vector Spaces, The Geometry Of Inner Product Spaces, Adjoint Operators, Spectral Theory Of Inner Product Spaces.
Author(s): John M. Erdman
196 Pages