In
mathematics, the
general linear group of degree
n is the set of
invertible matrices, together with the operation of ordinary
matrix multiplication. This forms a
group, because the product of two invertible matrices is again invertible, and the inverse of an invertible matrix is invertible. The group is so named because the columns of an invertible matrix are
linearly independent, hence the vectors/points they define are in
general linear position, and matrices in the general linear group take points in general linear position to points in general linear position.