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

Example Sentences

Recent Examples on the Web One early technique came via a linear algebra representation called eigenvectors, which let researchers compare similar objects as long as they are precisely aligned. Michael Fitzgerald, Discover Magazine, 25 Nov. 2015 Now, theorists have found a way to solve the integrals numerically by reducing them to linear algebra. Byadrian Cho,, 30 Nov. 2022 The approach transforms them into differential equations, which can be solved easily by a computer—although the method depends on a key new insight and lots and lots of linear algebra. Byscience News Staff,, 8 Dec. 2022 Thus, the boundary condition problem reduces to pure linear algebra. Byadrian Cho,, 30 Nov. 2022 But many standard techniques for data analysis are based on a type of mathematics known as linear algebra, which studies straight lines and flat planes. Kelsey Houston-edwards, Scientific American, 21 Sep. 2022 In contrast to the relatively simple and rigid structures that characterize linear algebra, TDA is grounded in topology, a branch of mathematics that studies pliable, stretchy shapes. Kelsey Houston-edwards, Scientific American, 21 Sep. 2022 The chips also incorporate a linear algebra accelerator core to help speed up perception capabilities. Sam Abuelsamid, Forbes, 4 Jan. 2022 For example, in linear algebra one studies abstract vector spaces such as three-dimensional Euclidean space. Emily Riehl, Scientific American, 17 Sep. 2021 See More

These examples are programmatically compiled from various online sources to illustrate current usage of the word 'linear algebra.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback about these examples.

Word History

First Known Use

1870, in the meaning defined above

Time Traveler
The first known use of linear algebra was in 1870

Dictionary Entries Near linear algebra

Cite this Entry

“Linear algebra.” Dictionary, Merriam-Webster, Accessed 31 Mar. 2023.

More from Merriam-Webster on linear algebra

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