An affine transformation is a linear transformation between vector spaces, followed by a translation.
linear transformation can be define as the vector of 1 function present in other vector are known as linear transformation.
The null space describes what gets sent to 0 during the transformation. Also known as the kernel of the transformation. That is, for a linear transformation T, the null space is the set of all x such that T(x) = 0.
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Invariants are points that remain the same under certain transformations. You could plug the points into your transformation and note that what does in is the same as what comes out. The details depend on the transformation.
Scaling.
An affine group is the group of all affine transformations of a finite-dimensional vector space.
scale, rotate, reflect, Translate(move identical image), Affine Transformation( altering the perspective from which you view the image)
An affine space is a vector space with no origin.
Medicorophium affine was created in 1859.
Agonum affine was created in 1837.
Stylidium affine was created in 1845.
Pyropteron affine was created in 1856.
An affine combination is a linear combination of vectors in Euclidian space in which the coefficients add up to one.
Euler introduced the term affine (Latin affinis, "related") in 1748 in his book "Introductio in analysin infinitorum." Felix Klein's Erlangen program recognized affine geometry as a generalization of Euclidean geometry.
M. J. Kallaher has written: 'Affine planes with transitive collineation groups' -- subject(s): Affine Geometry, Collineation
An affine variety is a set of points in n-dimensional space which satisfy a set of equations which have a polynomial of n variables on one side and a zero on the other side.
The shape you're describing is called an "affine transformation." In geometric terms, when all points of a shape slide the same distance and direction, it is typically referred to as a "translation." This transformation preserves the shape and size of the object, maintaining its geometric properties while shifting its position in space.