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A First Course in Linear Algebra by Ilijas Farah and K. Kuttler
The contents of this book include: Systems of Equations, Matrices, Determinants, Linear Transformations, Complex Numbers, Spectral Theory, Some Curvilinear Coordinate Systems, Vector Spaces.
Author(s): Ilijas Farah, K. Kuttler
608 Pages 
Lecture notes on Advanced Linear Algebra
This note covers the following topics: Motivation, linear spaces, and isomorphisms, Subspaces, linear dependence and independence, Bases, Dimension, direct sums, and isomorphism, Quotient spaces and dual spaces, Linear maps, nullspace and range, Nullity and rank, Matrices, Changing bases, Conjugacy, types of operators, dual space, determinants.
Author(s): Vaughn Climenhaga
145 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
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
Linear Algebra in Twenty Five Lectures (PDF 395P)
This note emphasize the concepts of vector spaces and linear transformations as mathematical structures that can be used to model the world around us. Topics covered includes: Gaussian Elimination, Elementary Row Operations, Vector Spaces, Linear Transformations, Matrices, Elementary Matrices and Determinants, Eigenvalues and Eigenvectors, Diagonalization, Kernel, Range, Nullity, Rank, Gram-Schmidt and Orthogonal Complements.
Author(s): Tom Denton and Andrew Waldron
395 Pages
Lecture Notes for Linear Algebra (PDF 268P)
These notes are intended for someone who has already grappled with the problem of constructing proofs.This book covers the following topics: Gauss-Jordan elimination, matrix arithmetic, determinants , linear algebra, linear transformations, linear geometry, eigenvalues and eigenvectors.
Author(s): James S. Cook, Liberty University
268 Pages
Lecture Notes on Linear Algebra (PDF 220P)
This book covers the following topics: Brief introduction to Logic and Sets, Brief introduction to Proofs, Basic Linear Algebra, Eigenvalues and Eigenvectors, Vector Spaces.
Author(s): Eleftherios Gkioulekas
220 Pages
A Geometric Review of Linear Algebra
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Linear Algebra Hefferon J (Mirror)
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A Computational Introduction to Number Theory and Algebra (Version 1)
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NA Pages
Group Characters, Symmetric Functions, and the Hecke Algebra
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Basic Linear Algebra (PDF 73p)
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Toeplitz and Circulant Matrices
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