What does linear algebra mean?
Definitions for linear algebra
lin·ear al·ge·bra
This dictionary definitions page includes all the possible meanings, example usage and translations of the word linear algebra.
Princeton's WordNet
linear algebranoun
the part of algebra that deals with the theory of linear equations and linear transformation
Wiktionary
linear algebranoun
The branch of mathematics that deals with vectors, vector spaces, linear transformations and systems of linear equations.
linear algebranoun
An algebra over a field.
Wikipedia
Linear algebra
Linear algebra is the branch of mathematics concerning linear equations such as: a 1 x 1 + ⋯ + a n x n = b , {\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}=b,} linear maps such as:
ChatGPT
linear algebra
Linear algebra is a branch of mathematics that involves the study of vectors and certain rules for manipulating them. This includes concepts such as vector spaces (also known as linear spaces), linear transformations, systems of linear equations, matrices, determinants, eigenvalues and eigenvectors. Linear algebra is a foundational field used in many areas of mathematics, physics, engineering, machine learning and computer science.
Wikidata
Linear algebra
Linear algebra is the branch of mathematics concerning vector spaces, often finite or countably infinite dimensional, as well as linear mappings between such spaces. Such an investigation is initially motivated by a system of linear equations in several unknowns. Such equations are naturally represented using the formalism of matrices and vectors. Linear algebra is central to both pure and applied mathematics. For instance, abstract algebra arises by relaxing the axioms of a vector space, leading to a number of generalizations. Functional analysis studies the infinite-dimensional version of the theory of vector spaces. Combined with calculus, linear algebra facilitates the solution of linear systems of differential equations. Techniques from linear algebra are also used in analytic geometry, engineering, physics, natural sciences, computer science, computer animation, and the social sciences. Because linear algebra is such a well-developed theory, nonlinear mathematical models are sometimes approximated by linear ones.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of linear algebra in Chaldean Numerology is: 7
Pythagorean Numerology
The numerical value of linear algebra in Pythagorean Numerology is: 6
Translations for linear algebra
From our Multilingual Translation Dictionary
- lineêre algebraAfrikaans
- الجبر الخطيArabic
- lineární algebraCzech
- lineare AlgebraGerman
- γραμμική άλγεβραGreek
- lineara algebroEsperanto
- álgebra linealSpanish
- lineaaralgebraEstonian
- lineaarialgebraFinnish
- algèbre linéaireFrench
- אלגברה לינאריתHebrew
- lineáris algebraHungarian
- algebra lineareItalian
- 線型代数Japanese
- lineaire algebraDutch
- lineær algebraNorwegian
- algebra liniowaPolish
- álgebra linearPortuguese
- algebră liniarăRomanian
- лине́йная а́лгебраRussian
- linearna algebraSerbo-Croatian
- linjär algebraSwedish
- doğrusal cebir, lineer cebirTurkish
- đại số tuyến tínhVietnamese
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"linear algebra." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/linear+algebra>.
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