When Number Tables Began to Move Worlds — From Counting Rods to Quantum States and AI
Matrices did not begin as abstract objects inside square brackets. Tables for simultaneous equations, determinants and elimination, transformations and eigenvectors, compression and numerical algorithms gradually became a computational language for quantum states, search, graphics, and AI. The route asks not who invented a matrix at one instant, but why different problems kept needing the same structure.
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Reducing Rows in a Counting-Rod Table — The Nine Chapters and Liu Hui
The Fangcheng chapter of the Nine Chapters arranged counting rods in rectangular cells and manipulated columns to solve several unknowns. Liu Hui’s 263 commentary explained why procedures worked. This resembles later elimination, but it was not yet an abstract matrix with modern row-operation notation. Luoyang is an editorial anchor for the Wei intellectual setting; the exact place of composition is unknown.
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