👉 In mathematics, a "subdual" of a vector space V is an alternative vector space that has the same dimension as V but whose basis vectors are orthogonal to those in V. This concept can be used to generalize the concept of dual spaces from linear algebra to infinite-dimensional spaces and beyond. For instance, if V is a finite-dimensional vector space over a field F, then any subdual of V will also have dimension equal to that of V. Subduals are particularly useful