Linear Algebra

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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
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