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linear transformation (thing)
See all of linear transformation
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(
thing
)
by
Debbie
Tue May 30 2000 at 4:31:13
A transformation T: V->W (from a vector space V to a vector space W) is linear iff:
For all X,Y belonging to W and scalar c
T(X+Y) = T(X) +T(Y)
T(cX) = cT(X)
That is, a
transformation
from a
vector space
V to a
vector
space W is linear iff W is both
closed under addition
and
closed under scalar multiplication
.
vector space
dual of a vector space
Lorentz transformation
representations of Lie algebras
Linear algebra
rotation matrix
Fourier transform
representations of groups
The Physicist's Bill of Rights
Convolution
Lorentz transformation gamma
dot product
general linear group
Primary decomposition theorem
UN Studio
Leibniz rule
similarity transformation
shoe-sock theorem
linear functional
projection operator
tensor product
Lie algebras
matrix multiplication
Bilinear
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