linear transformation can be define as the vector of 1 function present in other vector are known as linear transformation.
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An affine transformation is a linear transformation between vector spaces, followed by a translation.
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.
There are four forms of linear transformation on the Cartesian plane which is used in engineering and they are:- Translation moves a shape in the same direction and distance Refection is a 'mirror image' of a shape Enlargement changes the size of a shape by a scale factor Rotation turns a shape through an angle at a fixed point
Linear Algebra is a special "subset" of algebra in which they only take care of the very basic linear transformations. There are many many transformations in Algebra, linear algebra only concentrate on the linear ones. We say a transformation T: A --> B is linear over field F if T(a + b) = T(a) + T(b) and kT(a) = T(ka) where a, b is in A, k is in F, T(a) and T(b) is in B. A, B are two vector spaces.
The term "linear line" is redundant; lines are necessarily linear, since linear means in the form of a line.