linear algebra


Definition of linear algebra

: a branch of mathematics that is concerned with mathematical structures closed under the operations of addition and scalar multiplication and that includes the theory of systems of linear equations, matrices, determinants, vector spaces, and linear transformations

Examples of linear algebra in a Sentence

Recent Examples on the Web Representation theory creates a bridge between group theory and linear algebra by assigning a matrix to each element in a group, according to certain rules. Quanta Magazine, "The ‘Useless’ Perspective That Transformed Mathematics," 9 June 2020 The simpler objects are arrays of numbers called matrices, the core element of linear algebra. Quanta Magazine, "The ‘Useless’ Perspective That Transformed Mathematics," 9 June 2020 Sean Johnson took linear algebra last semester and will study computer science in the spring. Meg Jones, Milwaukee Journal Sentinel, "This Wisconsin college professor uses knitting to teach math and explain geometry in 3D," 23 Jan. 2020 The purpose of all this computational heft is to run linear algebra, the mathematics of data processing in general and machine learning in particular. The Economist, "Computing records The first computer chip with a trillion transistors," 5 Dec. 2019 The technical side is mostly math: statistics, linear algebra, probability, calculus. Zeynep Tufekci, Scientific American, "Should Kids Learn to Code?," 7 Aug. 2019 Matrices are the core objects in linear algebra, which is used to study mathematical phenomena whose behavior can be captured by lines, planes and higher-dimensional spaces. Quanta Magazine, "‘Outsiders’ Crack 50-Year-Old Math Problem," 24 Nov. 2015 Topics of study will include probability, statistics, linear algebra, and high-level programming language. Margeaux Sippell,, "Weekend business agenda," 15 Mar. 2018

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'linear algebra.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

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First Known Use of linear algebra

1870, in the meaning defined above

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Time Traveler for linear algebra

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The first known use of linear algebra was in 1870

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Last Updated

2 Jul 2020

Cite this Entry

“Linear algebra.” Dictionary, Merriam-Webster, Accessed 2 Jul. 2020.

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