GraphMath

External Presence

This page lists public platforms where GraphMath materials, diagrams and educational resources are available.

Wikipedia and Wikimedia Commons

Selected GraphMath visualizations have been uploaded to Wikimedia Commons and incorporated into specific sections of Wikipedia articles.

Wikipedia article section Wikimedia Commons file
Projection (linear algebra) — Orthogonal projections
Projection onto a subspace shown geometrically.
Thumbnail of projection diagram Least squares projection geometry
Projection (linear algebra) — Finding projection with an inner product
Projection using orthonormal basis and inner products.
Thumbnail of orthogonal projection using an orthonormal basis Orthogonal projection using an orthonormal basis
Ordinary least squares — Projection
Least squares as projection onto the column space.
Thumbnail of geometric interpretation of least squares for three observations Geometric interpretation of least squares (three observations)
Row and column spaces — Relation to the left null space
Diagram of the four fundamental subspaces.
Thumbnail of four fundamental subspaces diagram Four fundamental subspaces of a matrix (diagram)
Change of basis
Coordinate change between the standard basis and a new basis.
Thumbnail of change of basis coordinate mapping Change-of-basis coordinate mapping (matrix representation)
Change of basis
Coordinate transformation between two non-standard bases.
Thumbnail of change of basis between two bases Change of basis — coordinate transformation between bases
QR decomposition — Square matrix
Gram-Schmidt orthogonalization and upper-triangular structure.
Thumbnail of 2D geometric interpretation of QR decomposition QR decomposition geometric interpretation (2D)
QR decomposition — Example
3D geometric interpretation of QR factorization.
Thumbnail of 3D geometric interpretation of QR decomposition QR decomposition geometric interpretation (3D)
Gaussian elimination — Definitions and example of algorithm
Row reduction interpreted as multiplication by elementary matrices.
Thumbnail of Gaussian elimination as multiplication by elementary matrices Gaussian elimination as multiplication by elementary matrices

Open Repositories and Archives

GraphMath materials are also available through public repositories and long-term archives.

GitHub repository
Source materials, diagrams and structured content are published in a public repository.

Zenodo DOI archive
Selected GraphMath materials are archived on Zenodo for long-term access and citation.

Open Educational Platforms

Selected GraphMath materials are also listed on public educational platforms.

OER Commons — Geometric Interpretation of Least Squares (OLS)
Public OER listing for the least squares resource.

MERLOT materials
Public MERLOT listing for GraphMath Linear Algebra educational resources.