Linear Algebra
A complete route from first vectors to spectral structure, with proof and Python growing beside the mathematics.
Linear algebra
Spaces, maps, and the geometry hiding inside a matrix.
- Vectors, span, and bases
- Linear maps and matrices
- Eigenvectors and inner products
Original course
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Reading paths
MIT 18.06
A route through linear algebra, connecting calculation with the spaces it describes.
A personal reading routeLinear Algebra Done Right
An abstract companion: start with vector spaces and ask what linear maps really preserve.
A personal reading routeEssence of linear algebra
Build a geometric picture, then return to the symbols with something to recognise.
A personal reading route