ring of linear transformations

См. также в других словарях:

• Linear map — In mathematics, a linear map, linear mapping, linear transformation, or linear operator (in some contexts also called linear function) is a function between two vector spaces that preserves the operations of vector addition and scalar… …   Wikipedia

• Linear algebra — R3 is a vector (linear) space, and lines and planes passing through the origin are vector subspaces in R3. Subspaces are a common object of study in linear algebra. Linear algebra is a branch of mathematics that studies vector spaces, also called …   Wikipedia

• Linear group — In mathematics, a matrix group is a group G consisting of invertible matrices over some field K , usually fixed in advance, with operations of matrix multiplication and inversion. More generally, one can consider n times; n matrices over a… …   Wikipedia

• linear algebra — noun the part of algebra that deals with the theory of linear equations and linear transformation (Freq. 2) • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑algebra * * * noun 1 …   Useful english dictionary

• Primitive ring — In mathematics, especially in the area of abstract algebra known as ring theory, the concept of left primitive ring generalizes that of matrix algebra. Every matrix ring is the endomorphism ring of a finite dimensional vector space, but a… …   Wikipedia

• General linear group — Group theory Group theory …   Wikipedia

• Trace (linear algebra) — In linear algebra, the trace of an n by n square matrix A is defined to be the sum of the elements on the main diagonal (the diagonal from the upper left to the lower right) of A, i.e., where aii represents the entry on the ith row and ith column …   Wikipedia

• Noncommutative ring — In mathematics, more specifically modern algebra and ring theory, a noncommutative ring is a ring whose multiplication is not commutative; that is, if R is a noncommutative ring, there exists a and b in R with a·b ≠ b·a, and conversely.… …   Wikipedia

• Special linear group — In mathematics, the special linear group of degree n over a field F is the set of n times; n matrices with determinant 1, with the group operations of ordinary matrix multiplication and matrix inversion.This is the normal subgroup of the general… …   Wikipedia

• Inversive ring geometry — In mathematics, inversive ring geometry is the extension to the context of associative rings, of the concepts of projective line, homogeneous coordinates, projective transformations, and cross ratio, concepts usually built upon rings that happen… …   Wikipedia

• linearalgebra — linear algebra n. 1. The branch of mathematics that deals with the theory of systems of linear equations, matrices, vector spaces, determinants, and linear transformations. 2. A mathematical ring and vector space with scalars from an associated… …   Universalium