-
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 R n {\displaystyle...
- In mathematics, a
linear fractional transformation is,
roughly speaking, an
invertible transformation of the form z ↦ a z + b c z + d . {\displaystyle...
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purely linear transformation, an
affine transformation need not
preserve the
origin of the
affine space. Thus,
every linear transformation is affine, but...
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group of all
automorphisms of V, i.e. the set of all
bijective linear transformations V → V,
together with
functional composition as
group operation....
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include linear transformations of
vector spaces and
geometric transformations,
which include projective transformations,
affine transformations, and specific...
- In physics, the
Lorentz transformations are a six-parameter
family of
linear transformations from a
coordinate frame in
spacetime to
another frame that...
-
Direct linear transformation (DLT) is an
algorithm which solves a set of
variables from a set of
similarity relations: x k ∝ A y k {\displaystyle \mathbf...
- In
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...
-
matrices represent the same
linear map
under two (possibly)
different bases, with P
being the change-of-basis matrix. A
transformation A ↦ P−1AP is
called a...