Linear algebra

  • 1650 BCE

    Papiro Rhind

    Papiro Rhind
    The Papiro Rhind is named after a Scottish antiquarian who acquired it in Luxor in 1858. This antiquarian, named Alexander Henry Rhind, was a 19th-century scholar with a broad academic background that included Natural History, Law and Philosophy, and later developed an interest in archaeology. He arrived in Egypt in 1855, after studying the necropolises of Thebes and publishing numerous articles and books related to his findings.
  • Determinant Theory

    Determinant Theory
    Swiss mathematician Gabriel Cramer introduces the theory of determinants as a tool for solving systems of linear equations.
  • Development of matrix theory

    Development of matrix theory
    British mathematician Arthur Cayley develops matrix theory, which would become a fundamental tool in Linear Algebra.
  • The term "Linear Algebra

    The term "Linear Algebra
    British mathematician James Joseph Sylvester introduces the term "Linear Algebra" to describe matrix theory and vector spaces.
  • Abstract vector spaces

    Abstract vector spaces
    German mathematician Emmy Noether introduces the idea of ​​abstract vector spaces, which allowed for further generalization in the theory of Linear Algebra.
  • Development of linear programming

    Development of linear programming
    American mathematician George Dantzig develops linear programming, a technique for solving optimization problems that uses Linear Algebra
  • Computers and Linear Algebra

    Computers and Linear Algebra
    With the advent of computers, Linear Algebra becomes an essential tool in programming and data analysis.
  • Algebraic Geometry

    Algebraic Geometry
    Linear Algebra is used in algebraic geometry, a branch of mathematics that studies curves and surfaces defined by polynomial equations.
  • Linear Algebra in Artificial Intelligence

    Linear Algebra in Artificial Intelligence
    Linear Algebra becomes a fundamental tool in artificial intelligence and machine learning, being used for image processing and the analysis of large amounts of data.
  • Cloud computing

    Cloud computing
    Distributed computing: The expansion of cloud computing enables large-scale algebraic calculations in distributed systems, facilitating the processing of large volumes of data and the resolution of complex problems in real time.
  • Linear algebra in scientific research

    Linear algebra in scientific research
    Data science and simulations: The role of linear algebra in data science, computational biology, physics and other scientific disciplines is strengthened, with applications in network modeling, genomic data analysis and simulation of physical phenomena.
  • Advances in theoretical and applied linear algebra

    Advances in theoretical and applied linear algebra
    Emerging research and applications: New research and applications in linear algebra, such as methods for efficient resolution of partial differential equations and deep learning techniques, continue to expand the frontiers of knowledge and its applicability in diverse areas.