👉 In mathematics, a homogenizing operation is an operation that can be applied to elements of a vector space or algebraic structure to reduce its dimension. A homogenizing operation, also known as a "homotopy," allows for the transformation of vectors into other vectors of the same dimension by removing the component of the original vector that corresponds to the higher-dimensional coordinate system. For example, in linear algebra, a homogenizing operation can be used to reduce the dimensions of a vector space.
