In [[abstract algebra]], the '''kernel''' of a [[function]] between two [[group_(mathematics)|group]]s is the set of all members of the first which map to the identity of the second. Similarly, the '''kernel''' of a mapping in [[linear algebra]] from one [[vector space]] to another is the set of vectors mapped to the zero [[vector]]. | In [[abstract algebra]], the '''kernel''' of a [[function]] between two [[group_(mathematics)|group]]s is the set of all members of the first which map to the identity of the second. Similarly, the '''kernel''' of a mapping in [[linear algebra]] from one [[vector space]] to another is the set of vectors mapped to the zero [[vector]]. |