Final answer:
A shear transformation is a linear transformation that maps a vector into its mirror image but leaves the vector unchanged.
Step-by-step explanation:
In mathematics, a shear transformation is a linear transformation that maps a vector into its mirror image but leaves the vector unchanged. It is a type of transformation that preserves the shape and size of an object while distorting it in a particular direction. The shear transformation can be represented by a shear matrix, which is a square matrix that describes the transformation.