Algebra BooksLinear Algebra Books

# A Brief Introduction to Linear Algebra

## A Brief Introduction to Linear Algebra

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):

NA Pages
##### Similar Books

Fundamentals of Linear Algebra and Optimization

This note covers the following topics: Vector Spaces, Bases, Linear Maps, Matrices and Linear Maps, Direct Sums, Affine Maps, The Dual Space, Duality, Gaussian Elimination, LU, Cholesky, Echelon Form, Determinants, Vector Norms and Matrix Norms, Eigenvectors and Eigenvalues, Iterative Methods for Solving Linear Systems, Euclidean Spaces, Hermitian Spaces, Spectral Theorems, The Finite Elements Method, Singular Value Decomposition and Polar Form, Applications of SVD and Pseudo-Inverses, Annihilating Polynomials, Differential Calculus, Schur Complements and Applications, Linear Programming and Duality, Hilbert Spaces, Soft Margin Support Vector Machines.

925 Pages

Introductory Notes in Linear Algebra for the Engineers

This book is addressed primarely to second and third year college engineering students who have already had a course in calculus and analytic geometry. It is the result of lecture notes given by the author at Arkansas Tech University. Topics covered includes: Linear Systems of Equations, Matrices, Determinants, The Theory of Vector Spaces, Eigenvalues and Eigenvectors, Linear Transformation.

221 Pages

Linear Algebra I by Ronald van Luijk

This note explains the following topics: Vector spaces, The field of complex numbers, Linear maps, Subspaces, Matrices, Linear independence and dimension, Ranks, Linear maps and matrices, Determinants, Eigenvalues and Eigenvectors.

156 Pages

Fundamentals of Linear Algebra

This textbook is meant to be a mathematically complete and rigorous introduction to abstract linear algebra for undergraduates, possibly even first year students, specializing in mathematics. Author tried very hard to emphasize the fascinating and important interplay between algebra and geometry.

412 Pages

Linear Algebra lecture notes Martin Bright and Daan Krammer (PDF 56P)

This book explains the following topics related to Linear Algebra: Number systems and fields, Vector spaces, Linear independence, spanning and bases of vector spaces, Subspaces, Linear transformations, Matrices, Linear transformations and matrices, Elementary operations and the rank of a matrix, The inverse of a linear transformation and of a matrix, Change of basis and equivalent matrices.

56 Pages

Fundamentals of Linear Algebra

This book is not a ”traditional” book in the sense that it does not include any applications to the material discussed. Its aim is solely to learn the basic theory of linear algebra within a semester period. Topics covered includes: Linear Systems, Matrices, Determinants, The Theory of Vector Spaces, Eigenvalues and Diagonalization and Linear Transformations.

196 Pages

Algebra and Number Theory A. Baker

Currently this section contains no detailed description for the page, will update this page soon.

NA Pages

Linear Algebra2

Currently this section contains no detailed description for the page, will update this page soon.

NA Pages

Elements of Abstract and Linear Algebra

Currently this section contains no detailed description for the page, will update this page soon.

NA Pages

Algebra Review in Ten Lessons

Currently this section contains no detailed description for the page, will update this page soon.

NA Pages

Group Characters, Symmetric Functions, and the Hecke Algebra

Currently this section contains no detailed description for the page, will update this page soon.

NA Pages

PROBLEMS IN ALGEBRAIC COMBINATORICS

Currently this section contains no detailed description for the page, will update this page soon.

NA Pages

Introduction to Algebraic Varieties

Currently this section contains no detailed description for the page, will update this page soon.

NA Pages

Advanced Linear Algebra lecture notes (with real algorithm for the real Jordan form)

Currently this section contains no detailed description for the page, will update this page soon.

NA Pages

Toeplitz and Circulant Matrices

Currently this section contains no detailed description for the page, will update this page soon.

NA Pages

An Invitation to General Algebra and Universal Constructions

Currently this section contains no detailed description for the page, will update this page soon.

NA Pages