A Computational Introduction to Number Theory and Algebra (Version 1)

Introduction to Applied Linear Algebra

This book is meant to provide an introduction to vectors, matrices, and least squares methods, basic topics in applied linear algebra. Our goal is to give the beginning student, with little or no prior exposure to linear algebra, a good grounding in the basic ideas, as well as an appreciation for how they are used in many applications, including data fitting, machine learning and artificial intelligence, tomography, image processing, finance, and automatic control systems. Topics covered includes, Vectors, Norm and distance, Clustering, Matrices, Linear equations, Matrix multiplication, Linear dynamical systems, Least squares, Multiobjective least squares, Constrained least squares.

Author(s): Stephen Boyd and Lieven Vandenberghe

473 Pages

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

Interactive Linear Algebra

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

A First Course in Linear Algebra Study Guide for the Undergraduate Linear Algebra Course

This book contains below topics, Systems of Linear Equations, Vector Spaces, Homogeneous Systems, Characteristic Equation of Matrix, Matrix Dot Product.

Author(s): Mohammed K A Kaabar

132 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

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