Linear Algebra

Thu, 09 Jul 2026 21:02:56 +1000

linear algebra is the study of vector spaces and the structure-preserving maps between them. it is the one branch of mathematics that computers execute natively — every model fit, every graphics frame, every pagerank iteration is matrix arithmetic — and the local model that calculus reduces every smooth problem to. 𐃏 the plot of this page: spaces, then maps, then the four subspaces every matrix carries, then the two great factorisations — the spectral theorem and the svd (Anton, Howard, 2010).

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Linear Algebra