In mathematics, a transformation is a f that maps a set X to itself,
(1). Linear transformation of vector space
(2) Geometric transformation
More generally, a transformation in mathematics means a mathematical function. A transformation can be an invertible function from a set X to itself or X to another set Y
A linear transformation is a transformation
for all vectors
Properties of the linear transformation:
2. For any vector
A rotational transformation is a transformation that turns a figure around a given point called the center of the rotation. The size and shape of the figure don’t change after rotation.
Properties of rotational transformation:
1. A rotation maintain the length of segments.
2. A rotation maintains the measure of angles.
3. A rotation maps a line to line, ray to ray, a segment to a segment, and an angle to an angle.
Give a counterexample to show that the given transformation is not a linear transformation.