110 relations: Abstract algebra, Additive map, Affine transformation, Analytic geometry, Antiderivative, Antilinear map, Associative algebra, Atiyah–Singer index theorem, Automorphism, Balanced set, Basis (linear algebra), Bent function, Bijection, Bounded operator, Cambridge University Press, Category (mathematics), Category of modules, Category theory, Class (set theory), Cokernel, Compiler, Complex conjugate, Complex number, Composition of relations, Computer graphics, Continuous function, Continuous linear operator, Convex set, Covariance and contravariance of vectors, Derivative, Diagonal matrix, Dimension, Dimension (vector space), Discontinuous linear map, Endomorphism, Epimorphism, Equivalence class, Equivalence relation, Euclidean space, Euler characteristic, Exact sequence, Expected value, Field (mathematics), Fredholm, Function composition, General linear group, Group (mathematics), Group isomorphism, Homogeneous function, Homothetic transformation, ..., Idempotence, Identity function, Image (mathematics), Injective function, Integral, Interval (mathematics), Inverse element, Inverse function, Isomorphism, Kernel (linear algebra), Line (geometry), Linear equation, Linear form, Linear function, Linear map, Linear subspace, Map (mathematics), Mathematics, Matrix (mathematics), Matrix addition, Matrix multiplication, McGraw-Hill Education, Module (mathematics), Module homomorphism, Monomorphism, Morphism, Nilpotent, Normed vector space, Operator theory, Optimizing compiler, Origin (mathematics), Plane (geometry), Point (geometry), Pointwise, Projection (linear algebra), Quotient space (linear algebra), Range (mathematics), Rank (linear algebra), Rank–nullity theorem, Reflection (mathematics), Ring (mathematics), Rotation (mathematics), Row and column vectors, Scalar (mathematics), Scaling (geometry), Semilinear map, Set (mathematics), Shear mapping, Smoothness, Springer Science+Business Media, Squeeze mapping, Surjective function, Tensor, Topological vector space, Transformation (function), Transformation matrix, Unit (ring theory), Variance, Vector space, 2 × 2 real matrices. Expand index (60 more) »

## Abstract algebra

In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures.

New!!: Linear map and Abstract algebra · See more »

## Additive map

In algebra an additive map, Z-linear map or additive function is a function that preserves the addition operation: for every pair of elements and in the domain.

New!!: Linear map and Additive map · See more »

## Affine transformation

In geometry, an affine transformation, affine mapBerger, Marcel (1987), p. 38.

New!!: Linear map and Affine transformation · See more »

## Analytic geometry

In classical mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system.

New!!: Linear map and Analytic geometry · See more »

## Antiderivative

In calculus, an antiderivative, primitive function, primitive integral or indefinite integral of a function is a differentiable function whose derivative is equal to the original function.

New!!: Linear map and Antiderivative · See more »

## Antilinear map

In mathematics, a mapping f:V\to W from a complex vector space to another is said to be antilinear (or conjugate-linear) if for all a, \, b \, \in \mathbb and all x, \, y \, \in V, where \bar and \bar are the complex conjugates of a and b respectively.

New!!: Linear map and Antilinear map · See more »

## Associative algebra

In mathematics, an associative algebra is an algebraic structure with compatible operations of addition, multiplication (assumed to be associative), and a scalar multiplication by elements in some field.

New!!: Linear map and Associative algebra · See more »

## Atiyah–Singer index theorem

In differential geometry, the Atiyah–Singer index theorem, proved by, states that for an elliptic differential operator on a compact manifold, the analytical index (related to the dimension of the space of solutions) is equal to the topological index (defined in terms of some topological data).

New!!: Linear map and Atiyah–Singer index theorem · See more »

## Automorphism

In mathematics, an automorphism is an isomorphism from a mathematical object to itself.

New!!: Linear map and Automorphism · See more »

## Balanced set

In linear algebra and related areas of mathematics a balanced set, circled set or disk in a vector space (over a field K with an absolute value function |\cdot |) is a set S such that for all scalars \alpha with |\alpha| \leqslant 1 where The balanced hull or balanced envelope for a set S is the smallest balanced set containing S. It can be constructed as the intersection of all balanced sets containing S.

New!!: Linear map and Balanced set · See more »

## Basis (linear algebra)

In mathematics, a set of elements (vectors) in a vector space V is called a basis, or a set of, if the vectors are linearly independent and every vector in the vector space is a linear combination of this set.

New!!: Linear map and Basis (linear algebra) · See more »

## Bent function

In the mathematical field of combinatorics, a bent function is a special type of Boolean function.

New!!: Linear map and Bent function · See more »

## Bijection

In mathematics, a bijection, bijective function, or one-to-one correspondence is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other set, and each element of the other set is paired with exactly one element of the first set.

New!!: Linear map and Bijection · See more »

## Bounded operator

In functional analysis, a bounded linear operator is a linear transformation L between normed vector spaces X and Y for which the ratio of the norm of L(v) to that of v is bounded above by the same number, over all non-zero vectors v in X. In other words, there exists some M\ge 0 such that for all v in X The smallest such M is called the operator norm \|L\|_ \, of L. A bounded linear operator is generally not a bounded function; the latter would require that the norm of L(v) be bounded for all v, which is not possible unless L(v).

New!!: Linear map and Bounded operator · See more »

## Cambridge University Press

Cambridge University Press (CUP) is the publishing business of the University of Cambridge.

New!!: Linear map and Cambridge University Press · See more »

## Category (mathematics)

In mathematics, a category (sometimes called an abstract category to distinguish it from a concrete category) is an algebraic structure similar to a group but without requiring inverse or closure properties.

New!!: Linear map and Category (mathematics) · See more »

## Category of modules

In algebra, given a ring R, the category of left modules over R is the category whose objects are all left modules over R and whose morphisms are all module homomorphisms between left R-modules.

New!!: Linear map and Category of modules · See more »

## Category theory

Category theory formalizes mathematical structure and its concepts in terms of a labeled directed graph called a category, whose nodes are called objects, and whose labelled directed edges are called arrows (or morphisms).

New!!: Linear map and Category theory · See more »

## Class (set theory)

In set theory and its applications throughout mathematics, a class is a collection of sets (or sometimes other mathematical objects) that can be unambiguously defined by a property that all its members share.

New!!: Linear map and Class (set theory) · See more »

## Cokernel

In mathematics, the cokernel of a linear mapping of vector spaces f: X → Y is the quotient space Y/im(f) of the codomain of f by the image of f. The dimension of the cokernel is called the corank of f. Cokernels are dual to the kernels of category theory, hence the name: the kernel is a subobject of the domain (it maps to the domain), while the cokernel is a quotient object of the codomain (it maps from the codomain).

New!!: Linear map and Cokernel · See more »

## Compiler

A compiler is computer software that transforms computer code written in one programming language (the source language) into another programming language (the target language).

New!!: Linear map and Compiler · See more »

## Complex conjugate

In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign.

New!!: Linear map and Complex conjugate · See more »

## Complex number

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.

New!!: Linear map and Complex number · See more »

## Composition of relations

In the mathematics of binary relations, the composition relations is a concept of forming a new relation from two given relations R and S. The composition of relations is called relative multiplication in the calculus of relations.

New!!: Linear map and Composition of relations · See more »

## Computer graphics

Computer graphics are pictures and films created using computers.

New!!: Linear map and Computer graphics · See more »

## Continuous function

In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.

New!!: Linear map and Continuous function · See more »

## Continuous linear operator

In functional analysis and related areas of mathematics, a continuous linear operator or continuous linear mapping is a continuous linear transformation between topological vector spaces.

New!!: Linear map and Continuous linear operator · See more »

## Convex set

In convex geometry, a convex set is a subset of an affine space that is closed under convex combinations.

New!!: Linear map and Convex set · See more »

## Covariance and contravariance of vectors

In multilinear algebra and tensor analysis, covariance and contravariance describe how the quantitative description of certain geometric or physical entities changes with a change of basis.

New!!: Linear map and Covariance and contravariance of vectors · See more »

## Derivative

The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).

New!!: Linear map and Derivative · See more »

## Diagonal matrix

In linear algebra, a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero.

New!!: Linear map and Diagonal matrix · See more »

## Dimension

In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.

New!!: Linear map and Dimension · See more »

## Dimension (vector space)

In mathematics, the dimension of a vector space V is the cardinality (i.e. the number of vectors) of a basis of V over its base field.

New!!: Linear map and Dimension (vector space) · See more »

## Discontinuous linear map

In mathematics, linear maps form an important class of "simple" functions which preserve the algebraic structure of linear spaces and are often used as approximations to more general functions (see linear approximation).

New!!: Linear map and Discontinuous linear map · See more »

## Endomorphism

In mathematics, an endomorphism is a morphism (or homomorphism) from a mathematical object to itself.

New!!: Linear map and Endomorphism · See more »

## Epimorphism

In category theory, an epimorphism (also called an epic morphism or, colloquially, an epi) is a morphism f: X → Y that is right-cancellative in the sense that, for all morphisms, Epimorphisms are categorical analogues of surjective functions (and in the category of sets the concept corresponds to the surjective functions), but it may not exactly coincide in all contexts; for example, the inclusion \mathbb\to\mathbb is a ring-epimorphism.

New!!: Linear map and Epimorphism · See more »

## Equivalence class

In mathematics, when the elements of some set S have a notion of equivalence (formalized as an equivalence relation) defined on them, then one may naturally split the set S into equivalence classes.

New!!: Linear map and Equivalence class · See more »

## Equivalence relation

In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive.

New!!: Linear map and Equivalence relation · See more »

## Euclidean space

In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.

New!!: Linear map and Euclidean space · See more »

## Euler characteristic

In mathematics, and more specifically in algebraic topology and polyhedral combinatorics, the Euler characteristic (or Euler number, or Euler–Poincaré characteristic) is a topological invariant, a number that describes a topological space's shape or structure regardless of the way it is bent.

New!!: Linear map and Euler characteristic · See more »

## Exact sequence

An exact sequence is a concept in mathematics, especially in group theory, ring and module theory, homological algebra, as well as in differential geometry.

New!!: Linear map and Exact sequence · See more »

## Expected value

In probability theory, the expected value of a random variable, intuitively, is the long-run average value of repetitions of the experiment it represents.

New!!: Linear map and Expected value · See more »

## Field (mathematics)

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.

New!!: Linear map and Field (mathematics) · See more »

## Fredholm

Fredholm is a Swedish surname.

New!!: Linear map and Fredholm · See more »

## Function composition

In mathematics, function composition is the pointwise application of one function to the result of another to produce a third function.

New!!: Linear map and Function composition · See more »

## General linear group

In mathematics, the general linear group of degree n is the set of invertible matrices, together with the operation of ordinary matrix multiplication.

New!!: Linear map and General linear group · See more »

## Group (mathematics)

In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.

New!!: Linear map and Group (mathematics) · See more »

## Group isomorphism

In abstract algebra, a group isomorphism is a function between two groups that sets up a one-to-one correspondence between the elements of the groups in a way that respects the given group operations.

New!!: Linear map and Group isomorphism · See more »

## Homogeneous function

In mathematics, a homogeneous function is one with multiplicative scaling behaviour: if all its arguments are multiplied by a factor, then its value is multiplied by some power of this factor.

New!!: Linear map and Homogeneous function · See more »

## Homothetic transformation

In mathematics, a homothety (or homothecy, or homogeneous dilation) is a transformation of an affine space determined by a point S called its center and a nonzero number λ called its ratio, which sends in other words it fixes S, and sends any M to another point N such that the segment SN is on the same line as SM, but scaled by a factor λ. In Euclidean geometry homotheties are the similarities that fix a point and either preserve (if) or reverse (if) the direction of all vectors.

New!!: Linear map and Homothetic transformation · See more »

## Idempotence

Idempotence is the property of certain operations in mathematics and computer science that they can be applied multiple times without changing the result beyond the initial application.

New!!: Linear map and Idempotence · See more »

## Identity function

Graph of the identity function on the real numbers In mathematics, an identity function, also called an identity relation or identity map or identity transformation, is a function that always returns the same value that was used as its argument.

New!!: Linear map and Identity function · See more »

## Image (mathematics)

In mathematics, an image is the subset of a function's codomain which is the output of the function from a subset of its domain.

New!!: Linear map and Image (mathematics) · See more »

## Injective function

In mathematics, an injective function or injection or one-to-one function is a function that preserves distinctness: it never maps distinct elements of its domain to the same element of its codomain.

New!!: Linear map and Injective function · See more »

## Integral

In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

New!!: Linear map and Integral · See more »

## Interval (mathematics)

In mathematics, a (real) interval is a set of real numbers with the property that any number that lies between two numbers in the set is also included in the set.

New!!: Linear map and Interval (mathematics) · See more »

## Inverse element

In abstract algebra, the idea of an inverse element generalises concepts of a negation (sign reversal) in relation to addition, and a reciprocal in relation to multiplication.

New!!: Linear map and Inverse element · See more »

## Inverse function

In mathematics, an inverse function (or anti-function) is a function that "reverses" another function: if the function applied to an input gives a result of, then applying its inverse function to gives the result, and vice versa.

New!!: Linear map and Inverse function · See more »

## Isomorphism

In mathematics, an isomorphism (from the Ancient Greek: ἴσος isos "equal", and μορφή morphe "form" or "shape") is a homomorphism or morphism (i.e. a mathematical mapping) that can be reversed by an inverse morphism.

New!!: Linear map and Isomorphism · See more »

## Kernel (linear algebra)

In mathematics, and more specifically in linear algebra and functional analysis, the kernel (also known as null space or nullspace) of a linear map between two vector spaces V and W, is the set of all elements v of V for which, where 0 denotes the zero vector in W. That is, in set-builder notation,.

New!!: Linear map and Kernel (linear algebra) · See more »

## Line (geometry)

The notion of line or straight line was introduced by ancient mathematicians to represent straight objects (i.e., having no curvature) with negligible width and depth.

New!!: Linear map and Line (geometry) · See more »

## Linear equation

In mathematics, a linear equation is an equation that may be put in the form where x_1, \ldots, x_n are the variables or unknowns, and c, a_1, \ldots, a_n are coefficients, which are often real numbers, but may be parameters, or even any expression that does not contain the unknowns.

New!!: Linear map and Linear equation · See more »

## Linear form

In linear algebra, a linear functional or linear form (also called a one-form or covector) is a linear map from a vector space to its field of scalars.

New!!: Linear map and Linear form · See more »

## Linear function

In mathematics, the term linear function refers to two distinct but related notions.

New!!: Linear map and Linear function · See more »

## Linear map

In mathematics, a linear map (also called a linear mapping, linear transformation or, in some contexts, linear function) is a mapping between two modules (including vector spaces) that preserves (in the sense defined below) the operations of addition and scalar multiplication.

New!!: Linear map and Linear map · See more »

## Linear subspace

In linear algebra and related fields of mathematics, a linear subspace, also known as a vector subspace, or, in the older literature, a linear manifold, is a vector space that is a subset of some other (higher-dimension) vector space.

New!!: Linear map and Linear subspace · See more »

## Map (mathematics)

In mathematics, the term mapping, sometimes shortened to map, refers to either a function, often with some sort of special structure, or a morphism in category theory, which generalizes the idea of a function.

New!!: Linear map and Map (mathematics) · See more »

## Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

New!!: Linear map and Mathematics · See more »

## Matrix (mathematics)

In mathematics, a matrix (plural: matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

New!!: Linear map and Matrix (mathematics) · See more »

## Matrix addition

In mathematics, matrix addition is the operation of adding two matrices by adding the corresponding entries together.

New!!: Linear map and Matrix addition · See more »

## Matrix multiplication

In mathematics, matrix multiplication or matrix product is a binary operation that produces a matrix from two matrices with entries in a field, or, more generally, in a ring or even a semiring.

New!!: Linear map and Matrix multiplication · See more »

## McGraw-Hill Education

McGraw-Hill Education (MHE) is a learning science company and one of the "big three" educational publishers that provides customized educational content, software, and services for pre-K through postgraduate education.

New!!: Linear map and McGraw-Hill Education · See more »

## Module (mathematics)

In mathematics, a module is one of the fundamental algebraic structures used in abstract algebra.

New!!: Linear map and Module (mathematics) · See more »

## Module homomorphism

In algebra, a module homomorphism is a function between modules that preserves module structures.

New!!: Linear map and Module homomorphism · See more »

## Monomorphism

In the context of abstract algebra or universal algebra, a monomorphism is an injective homomorphism.

New!!: Linear map and Monomorphism · See more »

## Morphism

In mathematics, a morphism is a structure-preserving map from one mathematical structure to another one of the same type.

New!!: Linear map and Morphism · See more »

## Nilpotent

In mathematics, an element, x, of a ring, R, is called nilpotent if there exists some positive integer, n, such that xn.

New!!: Linear map and Nilpotent · See more »

## Normed vector space

In mathematics, a normed vector space is a vector space over the real or complex numbers, on which a norm is defined.

New!!: Linear map and Normed vector space · See more »

## Operator theory

In mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators.

New!!: Linear map and Operator theory · See more »

## Optimizing compiler

In computing, an optimizing compiler is a compiler that tries to minimize or maximize some attributes of an executable computer program.

New!!: Linear map and Optimizing compiler · See more »

## Origin (mathematics)

In mathematics, the origin of a Euclidean space is a special point, usually denoted by the letter O, used as a fixed point of reference for the geometry of the surrounding space.

New!!: Linear map and Origin (mathematics) · See more »

## Plane (geometry)

In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far.

New!!: Linear map and Plane (geometry) · See more »

## Point (geometry)

In modern mathematics, a point refers usually to an element of some set called a space.

New!!: Linear map and Point (geometry) · See more »

## Pointwise

In mathematics, the qualifier pointwise is used to indicate that a certain property is defined by considering each value f(x) of some function f. An important class of pointwise concepts are the pointwise operations — operations defined on functions by applying the operations to function values separately for each point in the domain of definition.

New!!: Linear map and Pointwise · See more »

## Projection (linear algebra)

In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that.

New!!: Linear map and Projection (linear algebra) · See more »

## Quotient space (linear algebra)

In linear algebra, the quotient of a vector space V by a subspace N is a vector space obtained by "collapsing" N to zero.

New!!: Linear map and Quotient space (linear algebra) · See more »

## Range (mathematics)

In mathematics, and more specifically in naive set theory, the range of a function refers to either the codomain or the image of the function, depending upon usage.

New!!: Linear map and Range (mathematics) · See more »

## Rank (linear algebra)

In linear algebra, the rank of a matrix A is the dimension of the vector space generated (or spanned) by its columns.

New!!: Linear map and Rank (linear algebra) · See more »

## Rank–nullity theorem

In mathematics, the rank–nullity theorem of linear algebra, in its simplest form, states that the rank and the nullity of a matrix add up to the number of columns of the matrix.

New!!: Linear map and Rank–nullity theorem · See more »

## Reflection (mathematics)

In mathematics, a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is called the axis (in dimension 2) or plane (in dimension 3) of reflection.

New!!: Linear map and Reflection (mathematics) · See more »

## Ring (mathematics)

In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.

New!!: Linear map and Ring (mathematics) · See more »

## Rotation (mathematics)

Rotation in mathematics is a concept originating in geometry.

New!!: Linear map and Rotation (mathematics) · See more »

## Row and column vectors

In linear algebra, a column vector or column matrix is an m × 1 matrix, that is, a matrix consisting of a single column of m elements, Similarly, a row vector or row matrix is a 1 × m matrix, that is, a matrix consisting of a single row of m elements Throughout, boldface is used for the row and column vectors.

New!!: Linear map and Row and column vectors · See more »

## Scalar (mathematics)

A scalar is an element of a field which is used to define a vector space.

New!!: Linear map and Scalar (mathematics) · See more »

## Scaling (geometry)

In Euclidean geometry, uniform scaling (or isotropic scaling) is a linear transformation that enlarges (increases) or shrinks (diminishes) objects by a scale factor that is the same in all directions.

New!!: Linear map and Scaling (geometry) · See more »

## Semilinear map

In linear algebra, particularly projective geometry, a semilinear map between vector spaces V and W over a field K is a function that is a linear map "up to a twist", hence semi-linear, where "twist" means "field automorphism of K".

New!!: Linear map and Semilinear map · See more »

## Set (mathematics)

In mathematics, a set is a collection of distinct objects, considered as an object in its own right.

New!!: Linear map and Set (mathematics) · See more »

## Shear mapping

In plane geometry, a shear mapping is a linear map that displaces each point in fixed direction, by an amount proportional to its signed distance from a line that is parallel to that direction.

New!!: Linear map and Shear mapping · See more »

## Smoothness

In mathematical analysis, the smoothness of a function is a property measured by the number of derivatives it has that are continuous.

New!!: Linear map and Smoothness · See more »

## Springer Science+Business Media

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

New!!: Linear map and Springer Science+Business Media · See more »

## Squeeze mapping

In linear algebra, a squeeze mapping is a type of linear map that preserves Euclidean area of regions in the Cartesian plane, but is not a rotation or shear mapping.

New!!: Linear map and Squeeze mapping · See more »

## Surjective function

In mathematics, a function f from a set X to a set Y is surjective (or onto), or a surjection, if for every element y in the codomain Y of f there is at least one element x in the domain X of f such that f(x).

New!!: Linear map and Surjective function · See more »

## Tensor

In mathematics, tensors are geometric objects that describe linear relations between geometric vectors, scalars, and other tensors.

New!!: Linear map and Tensor · See more »

## Topological vector space

In mathematics, a topological vector space (also called a linear topological space) is one of the basic structures investigated in functional analysis.

New!!: Linear map and Topological vector space · See more »

## Transformation (function)

In mathematics, particularly in semigroup theory, a transformation is a function f that maps a set X to itself, i.e..

New!!: Linear map and Transformation (function) · See more »

## Transformation matrix

In linear algebra, linear transformations can be represented by matrices.

New!!: Linear map and Transformation matrix · See more »

## Unit (ring theory)

In mathematics, an invertible element or a unit in a (unital) ring is any element that has an inverse element in the multiplicative monoid of, i.e. an element such that The set of units of any ring is closed under multiplication (the product of two units is again a unit), and forms a group for this operation.

New!!: Linear map and Unit (ring theory) · See more »

## Variance

In probability theory and statistics, variance is the expectation of the squared deviation of a random variable from its mean.

New!!: Linear map and Variance · See more »

## Vector space

A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.

New!!: Linear map and Vector space · See more »

## 2 × 2 real matrices

In mathematics, the associative algebra of real matrices is denoted by M(2, R).

New!!: Linear map and 2 × 2 real matrices · See more »

## Redirects here:

Bijective linear map, Homogeneous linear transformation, Linear Operator, Linear Transformation, Linear Transformations, Linear isomorphic, Linear isomorphism, Linear mapping, Linear maps, Linear operator, Linear operators, Linear relation, Linear transform, Linear transformation, Linear transformations, Nonlinear operator.

## References

[1] https://en.wikipedia.org/wiki/Linear_map