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The first appearance of the Gauss-Jordan algorithm. Few details of this development are known due to a tradition of anonymity.
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Issac Newton wrote a few notes in which elimination appeared for the first time in Europe.
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At some time during this period, the German mathematician independently developed the concept of the determinant and used it to solve linear systems.
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The Japanese mathematician invented the concept of a determinant and anticipated future fundamentals of matrices some time prior to 1683.
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In this work, Carl Friedrich Gauss came up with a method for solving least squares problems.
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Arthur Carley formally introduces the concept of matrices.
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Wilhelm Jordan devises a way of reducing matrices to reduced echelon form, similar to Gauss's method.
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The elimination method was used in the first stored-program digital computer, the Manchester Baby.