Special linear group implies every element is automorphic to its inverse

Statement
Let $$k$$ be a field and $$n$$ be a natural number. Let $$G = SL(n,k)$$ be the fact about::special linear group. Then, $$G$$ is a fact about::group in which every element is automorphic to its inverse.

Related facts

 * General linear group implies every element is automorphic to its inverse
 * Projective general linear group implies every element is automorphic to its inverse
 * Projective special linear group implies every element is automorphic to its inverse