An injective function, or one-to-one function, is a type of mapping between two sets where each element of the first set maps to a unique element in the second set. This means that no two different elements from the first set can be assigned to the same element in the second set. Understanding injectivity is crucial for analyzing linear transformations and their matrix representations, as well as exploring the properties of quotient spaces and the conditions under which isomorphisms exist.
congrats on reading the definition of Injective. now let's actually learn it.