Definition of Linear transformation. Meaning of Linear transformation. Synonyms of Linear transformation

Here you will find one or more explanations in English for the word Linear transformation. Also in the bottom left of the page several parts of wikipedia pages related to the word Linear transformation and, of course, Linear transformation synonyms and on the right images related to the word Linear transformation.

Definition of Linear transformation

Linear transformation
Linear measure, the measurement of length. Linear numbers (Math.), such numbers as have relation to length only: such is a number which represents one side of a plane figure. If the plane figure is a square, the linear figure is called a root. Linear problem (Geom.), a problem which may be solved geometrically by the use of right lines alone. Linear transformation (Alg.), a change of variables where each variable is replaced by a function of the first degree in the new variable.

Meaning of Linear transformation from wikipedia

- specifically in linear algebra, a linear map (also called a linear mapping, linear transformation, vector space homomorphism, or in some contexts linear function)...
- In linear algebra, linear transformations can be represented by matrices. If T{\displaystyle T} is a linear transformation mapping Rn{\displaystyle \mathbb...
- purely linear transformation, an affine transformation need not preserve the origin of the affine space. Thus, every linear transformation is affine, but...
- In mathematics, a linear fractional transformation is, roughly speaking, an invertible transformation of the form z↦az+bcz+d.{\displaystyle z\mapsto {\frac...
- group of all automorphisms of V, i.e. the set of all bijective linear transformations V → V, together with functional composition as group operation....
- Direct linear transformation (DLT) is an algorithm which solves a set of variables from a set of similarity relations: xk∝Ayk{\displaystyle \mathbf {x}...
- In linear algebra, it is often important to know which vectors have their directions unchanged by a given linear transformation. An eigenvector (/ˈaɪɡən-/...
- a measure of the "nondegenerateness" of the system of linear equations and linear transformation encoded by A. There are multiple equivalent definitions...
- In linear algebra, a Householder transformation (also known as a Householder reflection or elementary reflector) is a linear transformation that describes...
- degree of N{\displaystyle N}. More generally, a nilpotent transformation is a linear transformation L{\displaystyle L} of a vector space such that Lk=0{\displaystyle...