Linear Algebra
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Contents
Basics: Matrices & Vectors
Discussion of a matrix and vector - what are they and how are they formed.
See here for help on creating matrices & vectors in MATLAB
Matrix & Vector Algebra
Vector Dot Product
Vector Cross Product
Matrix-Vector Product
Matrix-Matrix Product
Linear Systems of Equations
Solving Linear Systems of Equations
Direct Solvers
Gaussian Elimination
The Thomas Algorithm (Tridiagonal Systems)
Iterative Solvers
Jacobi Method
Gauss-Seidel Method
Other Methods
- Conjugate-Gradient
- GMRES