-
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...