Linear Algebra

Linear Algebra Done Right

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

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

Course of linear algebra and multidimensional geometry

This book contains below topics, Linear vector spaces and linear mappings, The sets and mappings, Linear vector spaces, Linear dependence and linear independence, Spanning systems and bases, Intersections and sums of subspaces, Cosets of a subspace The concept of factorspace, Linear mappings, The matrix of a linear mapping, Linear operators, Projection operators.

Author(s): Ruslan Sharipov

143 Pages

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

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