One Chart Explains the Linear Algebra Behind Modern AI, from Vectors to SVD

HankYeomans · x · 2026-11-13

An infographic titled "Linear Algebra Formulas for AI" walks through nine core concepts powering modern AI: vectors (data representation), matrices (transformation), matrix multiplication, transpose, determinants (invertibility), inverse matrices, eigenvalues/eigenvectors (principal directions), norms (L1/L2/L∞/Frobenius), and SVD. The author argues these tools underpin neural networks, dimensionality reduction like PCA, compression and denoising — "the geometry of data is the geometry of intelligence." A handy refresher or cheat sheet for AI beginners.

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