For a field K {\displaystyle {}K} and n ∈ N + {\displaystyle {}n\in \mathbb {N} _{+}} , the set of all invertible n × n {\displaystyle {}n\times n} -matrices with entries in K {\displaystyle {}K} is called the general linear group over K {\displaystyle {}K} . It is denoted by GL n ( K ) {\displaystyle {}\operatorname {GL} _{n}\!{\left(K\right)}} .
