👉 In mathematics, a dual of a set S is another set that contains all the elements from S, but in reverse order. For example, if S = {1, 2, 3}, then its dual would be {2, 3, 1}. This operation is also known as a dualization process or a dual transformation. In linear algebra, the dual of a vector space V over a field K is another vector space that contains all the vectors from V but in reverse order