Timeline - Mandi McGaha Matrices and Determinants 300...

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Mandi McGaha Matrices and Determinants 300 BC-The Babylonians studied problems that lead to simultaneous linear equatios Between 200 BC and 100 BC-Chinese come much closer to matrices with the text Nine Chapters on the Mathematical Art , written during the Han Dynasty. This text gives the first known example of matrix methods 1545- Cardan gives a rule for solving a system of two linear equations and calls is regula de modo . This rule is essentially Cramer’s rule for solving a 2x2 system without the final step. 1660- de Witt published Elements of Curves , part of the commentaries on the Latin version of Descartes’ Geometrie . This article showed how a transformation of the axes reduces a given equation for a conic to canonical form. 1683- Seki, from Japan, wrote Method of Solving the Dissimulated Problems which contained matrix methods written as tables, as the Chinese had suggested, and introduced the idea of the determinant 1683- Leibniz wrote to de l’Hopital explaining that the systemof equations 10+11x+12y=0 20+21x+22y=0 30+31x+32y=0 had a solution because when written in matrix form: 10.21.32+11.22.30+12.20.31=10.22.31+11.20.32+12.21.30—the first number corresponding to the row it belonged to, the second to the column. 1700 & 1710-Leibniz published work containing results on coefficient systems and
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This note was uploaded on 03/30/2008 for the course MAT 2240 taught by Professor Greenwald during the Spring '08 term at Appalachian State.

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Timeline - Mandi McGaha Matrices and Determinants 300...

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