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The Gauss-Jordan Elimination Method Timeline

By lreyes
  • 650 BCE

    Magic Square

    Magic Square
    First found in China, India, and Japan,
    the magic squares have served as art
    or entertainment and even as
    possessing marvelous powers; they are thought as the origin to the discovery of matrices (McKay, n.d.). Image is a Magic Square Puzzle Inscribed on Temple Pillar (Holloway, 2018).
  • 200 BCE

    First Use of the Matrix in Nine Chapters on the Mathematical Art

    First Use of the Matrix in Nine Chapters on the Mathematical Art
    Historically, the
    first use of matrix methods to solve
    systems of equations is found in the
    Chinese text, The Nine Chapters on
    the Mathematical Art, written during
    the Han Dynasty from 202 B.C. to 200
    A.D
  • 1514

    Melencolia I

    Melencolia I
    "Albrecht Durer’s 1514 engraving titled Melencolia I contains a 4 × 4 magic square, the first to be seen in European art" (McKay, n.d).

  • Cramer's Method for Solving n Algebraic Equation in N Unknowns

    Cramer's Method for Solving n Algebraic Equation in N Unknowns
    Gabriel Cramer, a Swiss mathematician, worked out a method
    for solving in n algebraic equations in n unknowns (McKay, n.d.).

  • Franklin's Magical Square

    Franklin's Magical Square
    Franklin created a 16 x 16 square, although he created other squares, this one is viewed as spectacular since the columns and rows add to 2,056. When half rows and half columns are added together, the sum is 1,028 (Hurley, n.d).

  • Leonhard Euler's Development of Sudoku

    Leonhard Euler's Development of Sudoku
    May be only as a hobby, Euler developed the basics of 'Sudoku' which he termed 'Graeco-Roman Squares' or Latin Squares ➚ - he used letters as the grid square symbols rather than numbers. He mused on what would happen if you removed the rule for magic squares that the sum of the diagonals must add up to the same number as the rows and columns and turn it into a puzzle of permutations (Sudoku Dragons, n.d.).

  • Gauss Elimination Method

    Gauss Elimination Method
    Carl Gauss created an algorithm for finding the general solution of a system of linear equations by reducing the augmented matrix to a triangular form (McKay, n.d.). (Image from Singh, A. (2019, December 24). Carl Friedrich Gauss - The Prince Of Mathematics, A Great Genius. Retrieved May 31, 2020, from https://mobygeek.com/features/carl-friedrich-gauss-prince-of-mathematics-10805)

  • Mathematician Joseph Sylvester Coins the Term Matrix

    Mathematician Joseph Sylvester Coins the Term Matrix
    The term matrix was coined in 1850 by
    James Joseph Sylvester, an English
    mathematician.

  • Wihelm Jordan Modifies the Gauss Algorithm

    Wihelm Jordan Modifies the Gauss Algorithm
    Wilhelm Jordan,a German mathematician, made some
    modifications of the Gauss algorithm, which is known as the Gauss-Jordan elimination method (McKay, n.d). Photo of Wilhelm Jordan (Alamy, 2008).

  • Present Use of Gauss-Jordan Elimination Method

    The method is utilized to solve system of equations in Linear Algebra. It also can be applied to solve and investigate situations in Environmental Science (Prince & Angulo, 2015). Also, it can used in channel decoding algorithm, Robust Fingerprint Image, use for for solving linear equations on mesh-connected processors, and in scheduling algorithms (Saeed et al., 2015).