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Dates back to Ancient China. Considered to be the first discovery and use of an unofficial matrix.
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Commentary written by Liu Hui in 263. The "equations" discussed in the Fang Cheng chapter are equivalent to today's simultaneous linear equations. The solution method called "Fang Cheng Shi" is best known today as Gaussian elimination.
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Greek Mathematician famous for his work in algebra. Wrote the Arithmetica which laid the foundation for our modern day algebraic equations.
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Created by Albrecht Durer. Contains a 4x4 Magic Square which is considered to be a matrix.
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Gaussian elimination is a method for solving matrix equations of the form Ax = b.
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The term matrix was introduced by the 19th-century English mathematician James Sylvester
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Cayley first applied them to the study of systems of linear equations. Cayley recognized, certain sets of matrices form algebraic systems in which many of the ordinary laws of arithmetic (e.g., the associative and distributive laws) are valid but in which other laws (e.g., the commutative law) are not valid. Britannica, T. Editors of Encyclopaedia (2020, October 29). matrix. Encyclopedia Britannica. https://www.britannica.com/science/matrix-mathematics
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The modification that Jordan made took a matrix from echelon form to row reduced echelon form.
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The method is utilized to solve system of equations in Linear Algebra. Can also be used for problem solving in Encryptions, 3D Games, Economics, and so much more.