• Intro
• Simultaneous equations
• Matrices Part I
• Matrices Part II
• Linear Transformations
• Eigenvalues & Eigenvectors
• Inner product spaces
• Vector spaces
• Factorisations

Applications

• Applications of the SVD
• Affine Transformations

• Linear Algebra Calculator by David Harman
• Matrix column normalizer
• matrixcalc.org
• octave-online.net

Applets

• Matrix multiplication - Visualization
• Matrix multiplication - Example
• Rule of Sarrus
• Solving system Gauss
• Solving system full Gauss
• Basic geometric transformations
• Visualizing Eigenvectors in 2D
• 3D models: Knot / Vertex Reduction
• Matrices as transformations
• Images as matrices of numbers 🐌
• Spanning of vectors
• Affine Transformations
• Rotation 3D ✈️
• MoCap