# linear algebra

- See under algebra(def 2).

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## Origin of linear algebra

First recorded in 1890–95

## algebra

[al-juh-bruh]

- the branch of mathematics that deals with general statements of relations, utilizing letters and other symbols to represent specific sets of numbers, values, vectors, etc., in the description of such relations.
- any of several algebraic systems, especially a ring in which elements can be multiplied by real or complex numbers (linear algebra) as well as by other elements of the ring.
- any special system of notation adapted to the study of a special system of relationship: algebra of classes.

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## Origin of algebra

1535–45; < Medieval Latin < Arabic al-jabr literally, restoration

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

## algebra

- a branch of mathematics in which arithmetical operations and relationships are generalized by using alphabetic symbols to represent unknown numbers or members of specified sets of numbers
- the branch of mathematics dealing with more abstract formal structures, such as sets, groups, etc

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## Word Origin for algebra

C14: from Medieval Latin, from Arabic al-jabr the bone-setting, reunification, mathematical reduction

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Word Origin and History for linear algebra

## algebra

1550s, from Medieval Latin algebra, from Arabic al jebr "reunion of broken parts," as in computation, used 9c. by Baghdad mathematician Abu Ja'far Muhammad ibn Musa al-Khwarizmi as the title of his famous treatise on equations ("Kitab al-Jabr w'al-Muqabala" "Rules of Reintegration and Reduction"), which also introduced Arabic numerals to the West. The accent shifted 17c. from second syllable to first. The word was used in English 15c.-16c. to mean "bone-setting," probably from Arab medical men in Spain.

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Online Etymology Dictionary, © 2010 Douglas Harper

## algebra

[ăl′jə-brə]

- A branch of mathematics in which symbols, usually letters of the alphabet, represent numbers or quantities and express general relationships that hold for all members of a specified set.

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## linear algebra

- The branch of mathematics that deals with the theory of systems of linear equations, matrices, vector spaces, and linear transformations.

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The American Heritage® Science Dictionary
Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

## algebra

A branch of mathematics marked chiefly by the use of symbols (see also symbol) to represent numbers, as in the use of a2 + b2 = c2 to express the Pythagorean theorem.

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The New Dictionary of Cultural Literacy, Third Edition
Copyright © 2005 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.