Applied Linear
Algebra
ADD. KEYWORDS: Course materials, .Matrix Multiplication,
Solutions of Linear Equations, Extensions from single variable to several,
Positive definite quadratic forms, Diagonalization and quadratic forms, Linear
programming, Functions of matrices and differential equations, Economic input-output
models, Zero divisors, nilpotent and idempotent matrices, Linear statistical
models, Markov chains, Determinants
SOURCE: Xavier University
TECHNOLOGY: Adobe Acrobat PDF reader
College
of the Redwoods - Linear Algebra
ADD. KEYWORDS: Class materials, Scientific Notebook, Digraphs
and Matlab, Modular Arithmetic and Hill Ciphers, Interpolating Polynomials,
Mean Temperature on a Steel Plate, The Projection Matrix, Dynamical Systems,
Population Modeling Using the Leslie Matrix, Difference Equations - Closed
Form Solutions, Stage-Based Population Model - Loggerhead Sea Turtles
Computer Labs for Math
ADD. KEYWORDS: Solving Linear Systems, Linear Independence,
Matrix Operations, Determinants, Bases, Markov Chains, Eigenvalues and Characteristic
Polynomials, Orthonormal Bases and QR Factorizations, Constrained Optimization
SOURCE: Michael R. Anderson, West Virginia State College
TECHNOLOGY: LaTeX, Adobe Acrobat Reader, Derive, MuPad
Connected
Curriculum Project - Duke University
ADD. KEYWORDS: Matrix Arithmetic, Inverses and Elementary
Matrices, Determinants, Rotation Matrices, Markov Chains, Systems of Linear
Equations, Leslie Models, Orthogonal Functions, Eigenvalues and Eigenvectors,
MathCad, Maple, Mathematica, Matlab, TI-92
Elementary Linear Algebra
ADD. KEYWORDS: Lecture Notes, Problems
SOURCE: Keith Matthews, University of Queensland
TECHNOLOGY: Postscript
Elements of Abstract and Linear
Algebra
ADD. KEYWORDS: Textbook, Groups, Rings, Matrices and Matrix
Rings, Linear Algebra
SOURCE: Edwin H. Connell, University of Miami
TECHNOLOGY: Postscript, Adobe PDF Reader, DVI
Engineering
Mathematics 1
ADD. KEYWORDS: Lecture notes, lists of problems, Complex
Numbers, Matrix Algebra, Approximation and Taylor Series, Differential Equations,
Measures of Error
SOURCE: Ian Craw, Stuart Dagger and John Pulham, University
of Aberdeen
TECHNOLOGY: Adobe PDF Reader
Harvey Mudd College
Mathematics Tutorials
ADD. KEYWORDS: Change of Basis, Eigenvalues and Eigenvectors,
Geometry of Linear Transformations, Gram-Schmidt Method, Matrix Algebra, Solving
Systems of Equations
ILAW: Interactive Linear Algebra
[Fee required; Demo provided]
ADD. KEYWORDS: Online Course
SOURCE: Claude Laflamme and W. Keith Nicholson, University
of Calgary
TECHNOLOGY: Java Applets, TechExplorer, RealAudio, Adobe
Acrobat
Interactive
Exercises on Matrix Algebra
ADD. KEYWORDS: Adding Vectors, Scalar Multiplication,
Inner Product, Transpose, Inverse of a Matrix, Eigenvalues and Eigenvectors,
Jordan Canonical Form, QR- Decomposition, LU- Decomposition, Singular Value
Decomposition, Matrix Norm, Spectral Radius, Mathematica
Introduction to
Linear Dynamical Systems
ADD. KEYWORDS: Course materials, lecture notes, linear
functions, linear algebra review, orthonormal vectors and QR factorization,
least-squares methods, regularized least-squares and minimum norm methods,
autonomous linear dynamical systems, eigenvectors and diagonalization, Jordan
canonical form, aircraft dynamics, symmetric matrices, quadratic forms, matrix
norm, and SVD, quantum mechanics, controllability and state transfer
SOURCE: Miguel Sousa Lobo, Stanford University
TECHNOLOGY: Postscript or PDF reader
Linear Algebra
ADD. KEYWORDS: Text, Solving Linear Systems, Gauss' Method,
Linear Geometry of n-Space, Vectors in Space, Reduced Echelon Form, Gauss-Jordan
Reduction, Input-Output Analysis, Accuracy of Computations, Analyzing Networks,
Vector Spaces, Subspaces and Spanning Sets, Linear Independence, Basis and
Dimension, Fields, Crystals, Voting Paradoxes, Dimensional Analysis, Isomorphisms,
Homomorphisms, Range Space and Null Space, Matrix Operations, Inverses, Change
of Basis, Orthogonal Projection Into a Line, Gram-Schmidt Orthogonalization,
Line of Best Fit, Geometry of Linear Maps, Markov Chains, Orthonormal Matrices,
Determinants, Laplace's Expansion, Cramer's Rule, Speed of Calculating Determinants,
Projective Geometry, Similarity, Diagonalizability, Eigenvalues and Eigenvectors,
Nilpotence, Strings, Jordan Form, Polynomials of Maps or Matrices, Jordan
Canonical Form Stable Populations, Linear Recurrences
SOURCE: Jim Hefferon, Saint Michael's College
TECHNOLOGY: Adobe PDF Reader
Linear Algebra - An Introduction
to Linear Algebra for Pre-Calculus Students
ADD. KEYWORDS: Book, Addition of Matrices, Multiplication
of Matrices, Equations, Determinants, Expansions by Minors, Using Gaussian
Eleminations, Inverses and Solutions to Systems, Consistent and Inconsistent
Systems, Markov Chains, Least Squares Approximation, Proof of Normal Equations,
Eigenvalues and Eigenvectors, Numerical Challenges
SOURCE: Tamara Anthony Carter, University of North Texas,
Richard A. Tapia and Anne Papakonstantinou, Rice University
Mathematical
Ideas in Science: Linear Algebra
ADD. KEYWORDS: Linear Transformations in 2-Dimensions,
Products of Linear Transformations in 2-Dimensions, Linear Transformations
in 3-Dimensions, Products of Linear Transformations in 3-Dimensions, Eigenvalues
and the Characteristic Polynomial, Effect of a Linear Transformation on its
Eigenvectors, Change of Basis
SOURCE: 7Stones Mathematical Ideas in Science
TECHNOLOGY: Shockwave plugin
Matlab M-Files
ADD. KEYWORDS: Matlab, Solution of Linear Systems (Iterative
Methods), Eigenvalue Problems
Matrix
calculator
ADD. KEYWORDS: Rank, Determinant, Trace, Signature, Powers,
Exponential, Characteristic polynomial of A, Eigenvalues and eigenvectors,
Jordan form.
Matrix Inequalities in
Science and Engineering
ADD. KEYWORDS: References, People, Problems and Solutions,
Preprints, Monotone and Convex Matrix Functions, Combinatorial Matrix Theory,
Majorization, Numerical Range/Numerical Radius, Perturbation Theory and Numerical
Linear Algebra, Semi-definite programming, Systems and Control Theory
Matrix Market
ADD. KEYWORDS: Matrix Test Data, Linear Systems, Least
Squares, and Eigenvalue Calculations, Fortran, Matlab, Bibliography, Interactive
VRML Models