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Ancient Babylonians developed techniques to solve systems of linear equations using geometric approaches, allowing them to find solutions to practical problems in their society.
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This ancient Chinese text contains methods for solving systems of linear equations, demonstrating the early importance of these techniques in the history of mathematics.
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Harriot contributed to the development of the algebraic notation we use today to express linear equations concisely and clearly.
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Euler pioneered the formalization of matrices as rectangular arrays of numbers, which became a fundamental component of linear algebra.
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This method, also known as Gauss-Jordan elimination, is widely used to find solutions to systems of equations.
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Cayley made significant contributions to the study of matrices, including the formal definition of matrix inverses and matrix multiplication.
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Hilbert laid the groundwork for the abstract theory of vector spaces, which is essential in modern linear algebra.
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Modern computers have revolutionized how we perform calculations related to matrices, vectors, and systems of equations.
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From simulating physical systems to analyzing data, linear algebra plays a crucial role in many areas of science and technology.