Glossary of linear algebra information

This is a glossary of linear algebra. See also: glossary of module theory. Contents A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Affine transformation...

This is an outline of topics related to linear algebra, the branch of mathematics concerning linear equations and linear maps and their representations...

This is a glossary of algebraic geometry. See also glossary of commutative algebra, glossary of classical algebraic geometry, and glossary of ring theory...

methods of transforming equations to isolate variables. Linear algebra is a closely related field investigating variables that appear in several linear equations...

Outline of algebra Glossary of field theory Glossary of group theory Glossary of linear algebra Glossary of ring theory List of abstract algebra topics...

Multilinear algebra is the study of functions with multiple vector-valued arguments, with the functions being linear maps with respect to each argument...

specifically in linear algebra, a linear map (also called a linear mapping, linear transformation, vector space homomorphism, or in some contexts linear function)...

linear algebra, the transpose of a matrix is an operator which flips a matrix over its diagonal; that is, it switches the row and column indices of the...

is a glossary of commutative algebra. See also list of algebraic geometry topics, glossary of classical algebraic geometry, glossary of algebraic geometry...

the structure and classification of Lie groups in terms of Lie algebras, which are simpler objects of linear algebra. In more detail: for any Lie group...

Appendix:Glossary of abstract algebra in Wiktionary, the free dictionary. Abstract algebra is the subject area of mathematics that studies algebraic structures...

In mathematics, the special linear Lie algebra of order n over a field F {\displaystyle F} , denoted s l n F {\displaystyle {\mathfrak {sl}}_{n}F} or...

century, algebra consisted essentially of the theory of equations. For example, the fundamental theorem of algebra belongs to the theory of equations...

mathematics, a Lie algebra is semisimple if it is a direct sum of simple Lie algebras. (A simple Lie algebra is a non-abelian Lie algebra without any non-zero...

In mathematics, a linear algebraic group is a subgroup of the group of invertible n × n {\displaystyle n\times n} matrices (under matrix multiplication)...

In mathematics, the exterior algebra or Grassmann algebra of a vector space V {\displaystyle V} is an associative algebra that contains V , {\displaystyle...

variety; they are exactly the algebraic subgroups of the general linear group, and are therefore also called linear algebraic groups. Another class is formed...

branch of mathematics in which modules are studied. This is a glossary of some terms of the subject. See also: Glossary of linear algebra, Glossary of ring...

In mathematics, the tensor algebra of a vector space V, denoted T(V) or T•(V), is the algebra of tensors on V (of any rank) with multiplication being the...

Tonny Albert (1998). Linear Algebraic Groups (2nd ed.). Birkhäuser. ISBN 978-0-8176-4839-8. "General linear group", Encyclopedia of Mathematics, EMS Press...

{b^{2}-4ac}}}{2a}}}}}} Elementary algebra, also known as college algebra, encompasses the basic concepts of algebra. It is often contrasted with arithmetic:...

glossary of properties and concepts in algebraic topology in mathematics. See also: glossary of topology, list of algebraic topology topics, glossary...

adjoint action) of a Lie group G is a way of representing the elements of the group as linear transformations of the group's Lie algebra, considered as...

theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and...

theory and linear algebra. Algebraic K-theory an important part of homological algebra concerned with defining and applying a certain sequence of functors...

multiplicative group of R (that is, R excluding 0). These elements are "special" in that they form an algebraic subvariety of the general linear group – they...

In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are sets with specific operations...

of a non-singular projective surface. Glossary of algebraic geometry Glossary of arithmetic and Diophantine geometry Glossary of commutative algebra Glossary...

field of representation theory, a Lie algebra representation or representation of a Lie algebra is a way of writing a Lie algebra as a set of matrices...