200 Years of Linear Algebra in One Chart: From Leibniz's Determinants to Peano's Vector Spaces
burny_tech · x · 2026-11-11
An infographic traces nearly 200 years of linear algebra history, anchored by the equation Ax = b:
- 1693: Leibniz's early determinant ideas
- 1750: Cramer's rule for solving linear systems
- 1809–1811: Gauss systematizes elimination for least squares and astronomy
- 1812: Cauchy's rigorous determinant theory
- 1844: Grassmann's vector calculus and wedge product, extending algebra to higher dimensions
- 1850: Sylvester coins the term "matrix"
- 1858: Cayley builds matrix algebra (multiplication, inverses, properties)
- 1870: Jordan introduces canonical form
- 1878: Frobenius advances eigenvalue and linear transformation theory
- 1888: Peano axiomatizes vector spaces
This mathematical language now powers computer graphics, engineering, AI, and modern physics.
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