Linear Algebra
Linear Algebra
Software
PC
- SpeedCrunch–open source software, fast, simple
- GNU Octave–open source software
- Online Octave - online GNU Octave
- Matlab–proprietary
- Anaconda for Python Data Science Programming
Android
MOOC
- edX - Linear Algebra - Foundations to Frontiers : good interactive HW exercises, very clear instruction and time-efficient
- MIT OCW - Linear Algebra by Gilbert Strang Youtube: Gilbert Strang is good.
- Coursera - Mathematics for Machine Learning: Linear Algebra
- Algebra 1 - Khan Academy and Algebra 2 - Khan Academy
Youtube
List of Books
Proprietary Books
- Handbook of Linear Algebra by Leslie Hogben
- Introduction to Applied Linear Algebra Vectors, Matrices, and Least Squares by Stephen Boyd
- Linear Algebra and Its Applications by David C. Lay
- Elementary Linear Algebra: Application Version by Howard Anton
- Elementary Linear Algebra by Ron Larson
- Linear Algebra Ideas and Applications by Richard C. Penney
- Linear Algebra Done Right by Sheldon Axler
- A Concise Text on Advanced Linear Algebra by Yisong Yang
Free Books
- An Intuitive Overview of Linear Algebra Fundamentals
- Introduction to Linear Algebra by Thomas L. Scofield - PDF
- Algebra by Paul Dawkins PDF
- Linear Algebra Abridged by Sheldon Axler
- Intuitive Overview of Linear Algebra Fundamentals
- Linear Algebra A Course for Physicists and Engineers by Arak M. Mathai License: CC-BY-NC-ND
- Linear Algebra License: CC-BY-NC
- Math 1410 Elementary Linear Algebra by Sean Fitzpatrick License: CC-BY-NC
- Lecture Notes for Math 3410, with Computational Examples by Sean Fitzpatrick License: CC-BY-NC
- Linear Algebra with Application by Keith Nicholson PDF License: CC-BY-NC
- Immersive Linear Algebra
- Introduction to Applied Linear Algebra–Vectors, Matrices, and Least Squares
Open Books
- Linear Algebra, Theory And Applications by Kenneth Kuttler PDF License: CC-BY
- Linear Algebra by Jim Hefferon License : GFDL and CC-SA
- Interactive Linear Algebras by Dan Margalit License: GPL/GFDL Pretext Book
- Discover Linear Algebra by Jeremy Sylvestre License: GFDL Pretext Book
- A First Course in Linear Algebra by Robert A. Beezer PDF or its public beta version of A First Course in Linear Algebra License: GFDL
- Understanding Linear Algebra by David Austin License: CC-BY Pretext Book
- Linear Algebra, Theory And Applications by Kenneth Kuttler PDF License: CC-BY
- Linear Algebra for ML License: MIT
- Open Resources for Community College Algebra (ORCCA) or the book License: CC-BY Pretext Book
- MATH 1220 Linear Algebra 1 by Michael Doob License: CC (?) Pretext Book
- Elements of Linear and Multilinear Algebra by John M. Erdman PDF License: CC-BY
Book Recommendation
- Amazon - Linear Algebra with Applications: Williams, Gareth: 9781284120097: Books
- Matrix Analysis & Applied Linear Algebra
- Linear Algebra for Everyone, Gilbert Strang
- Introduction to Linear Algebra (Gilbert Strang): Strang, Gilbert: 9780980232776: Amazon.com: Books
- Linear Algebra: A Modern Introduction: Poole, David: 8601421990653: Books - Amazon
- Linear Algebra and Its Applications: Lay, David, Lay, Steven, McDonald, Judi: 9780321982384: Amazon.com: Books
- Numerical Linear Algebra: Lloyd N. Trefethen, David Bau III: 8581000033141: Books: Amazon.com
- Linear Algebra: Step by Step: Singh, Kuldeep: 8601300149776: Books: Amazon.com
- No Bullshit Guide to Linear Algebra
- Linear Algebra - Mathematics - MIT OpenCourseWare
- Free Linear Algebra textbook, from Jim Hefferon CC-BY
- Linear Algebra Done Wrong CC-BY
- Introduction to Applied Linear Algebra–Vectors, Matrices, and Least Squares
- Practical Linear Algebra: A Geometry Toolbox , Fourth Edition
- Linear Algebra - Mathematics - MIT OpenCourseWare
- Linear and Geometric Algebra
- Contents - 3D Math Primer for Graphics and Game Development
Video Recommendation
- 3Blue1Brown: Linear Alg - YouTube
- Essence of linear algebra - YouTube
- Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications - YouTube
Table of Contents some of the Open Books
Interactive Linear Algebras by Dan Margalit
- Systems of Linear Equations: Algebra (pp 1-27)
- Systems of Linear Equations: Geometry (pp 29-112)
- Linear Transformations and Matrix Algebra (pp 113-185)
- Determinants (pp 187-235)
- Eigenvalues and Eigenvectors (pp 237-337)
- Orthogonality (pp 339-407)
Discover Linear Algebra by Jeremy Sylvestre
- Systems of Equations and Matrices (pp 7-169)
- Systems of linear equations
- Solving systems using matrices
- Using systems of equations
- Matrices and matrix operations
- Matrix inverses
- Elementary matrices
- Special forms of square matrices
- Determinants
- Determinants versus row operations
- Determinants, the adjoint, and inverses
- Vector Spaces (pp 170-374)
- Introduction to vectors
- Geometry of vectors
- Orthogonal vectors
- Geometry of linear systems
- Abstract vector spaces
- Subspaces
- Linear independence
- Basis and Coordinates
- Dimension
- Column, row, and null spaces
- Introduction to Matrix Forms (pp 375-413)
- Eigenvalues and eigenvectors
- Diagonalization
Linear Algebra by Jim Hefferon
- Linear Systems
- Solving Linear Systems
- Linear Geometry
- Reduced Echelon Form
- Vector Spaces
- Definition of Vector Space
- Linear Independence
- Basis and Dimension
- Maps Between Spaces
- Isomorphisms
- Homomorphisms
- Computing Linear Maps
- Matrix Operations
- Change of Basis
- Projection
- Determinants
- Definition
- Geometry of Determinants
- Laplace’s Formula
- Similarity
- Complex Vector Spaces
- Similarity
- Nilpotence
- Jordan Form
A First Course in Linear Algebra by Robert A. Beezer
- Systems of Linear Equations
- Vectors
- Matrices
- Vector Spaces
- Determinants
- Eigenvalues
- Linear Transformations
- Representations
Linear Algebra, Theory And Applications by Kenneth Kuttler
- Preliminaries
- Matrices and Linear Transformations
- Determinants
- Row Operations
- Some Factorizations
- Linear Programming
- Spectral Theory
- Vector Spaces and Fields
- Linear Transformations
- Linear Transformations Canonical Forms
- Markov Chains and Migration Processes
- Inner Product Spaces
- Self Adjoint Operators
- Norms for Finite Dimensional Vector Spaces
- Numerical Methods for Finding Eigenvalues
MATH 1220 Linear Algebra 1 by Michael Doob
- Systems of Linear Equations
- Matrix theory
- The Determinant
- Vectors in Euclidean n-space
- Eigenvalues and eigenvectors
- Linear transformations
Markov Chains
- Examples of Markov chains - Wikipedia
- Math 22 - Linear Algebra with Applications
- Markov Chains explained visually
- Visualizing a Markov Chain - Will Hipson
- Markov Chains
- rwet/ngrams-and-markov-chains.ipynb at master · aparrish/rwet
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Last modified March 6, 2023: update (7eba5da)