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Authored in China and was the first place the elimination method appeared.
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Issac Newton wrote notes which described the method and was the first to do so in Europe.
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Gauss devised an algorithm to solve least-squares problems and referred to the method as "commonly known".
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A finer method which was used for his work on the triangulation of Hanover.
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Matrices were introduced into mathematics
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Jordan wrote a method for elimination for transforming a matrix into reduced echelon form
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B.-I. Clasen wrote a similar method as Jordan in the same year.
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The method of elimination was also implemented in the first stored-program digital computer.
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The Guass-Jordan Elimination Method is now currently used in mathematics classes such as algebra 1, algebra 2, linear algebra, etc. to solve systems of linear equations.