Ask the Chatbot Games & Quizzes ProCon History & Society Science & Tech Biographies Animals & Nature Geography & Travel Arts & Culture Money Videos
linear algebra
Discover
The Cheshire Cat is a fictional cat from Lewis Carroll's Alice's Adventures in Wonderland. (Alice in Wonderland)
11 Banned Books Through Time
Baseball laying in the grass. Homepage blog 2010, arts and entertainment, history and society, sports and games athletics
10 Greatest Baseball Players of All Time
Berlin, 1936 - Jesse Owens of the USA in action in the mens 200m at the Summer Olympic Games. Owens won a total of four gold medals.
Was Jesse Owens Snubbed by Adolf Hitler at the Berlin Olympics?
Orange basketball on black background and with low key lighting. Homepage 2010, arts and entertainment, history and society
The 10 Greatest Basketball Players of All Time
Rural Irish landscape, Sligo, Ireland.
Why Is Ireland Two Countries?
Thumbnail for flags that look alike quiz Russia, Slovenia, Iceland, Norway
Flags That Look Alike
Santa Claus flying in his sleigh, christmas, reindeer
Was Santa Claus a Real Person?
linear algebra Article

linear algebra summary

verifiedCite
While every effort has been made to follow citation style rules, there may be some discrepancies. Please refer to the appropriate style manual or other sources if you have any questions.
Select Citation Style
Share
Share to social media
URL
https://www.britannica.com/summary/linear-algebra
Feedback
Corrections? Updates? Omissions? Let us know if you have suggestions to improve this article (requires login).
Thank you for your feedback

Our editors will review what you’ve submitted and determine whether to revise the article.

External Websites
Written and fact-checked by
The Editors of Encyclopaedia Britannica
Encyclopaedia Britannica's editors oversee subject areas in which they have extensive knowledge, whether from years of experience gained by working on that content or via study for an advanced degree. They write new content and verify and edit content received from contributors.
The Editors of Encyclopaedia Britannica
Below is the article summary. For the full article, see linear algebra.

linear algebra, Branch of algebra concerned with methods of solving systems of linear equations; more generally, the mathematics of linear transformations and vector spaces. “Linear” refers to the form of the equations involved—in two dimensions, ax + by = c. Geometrically, this represents a line. If the variables are replaced by vectors, functions, or derivatives, the equation becomes a linear transformation. A system of equations of this type is a system of linear transformations. Because it shows when such a system has a solution and how to find it, linear algebra is essential to the theory of mathematical analysis and differential equations. Its applications extend beyond the physical sciences into, for example, biology and economics.