The general unitary group, also called the group of unitary similitudes, consists of all matrices A such that A∗A is a nonzero multiple of the identity matrix, and is just the product of the unitary group with the group of all positive multiples of the identity matrix.
The general unitary group also called the group of unitary similitudes consists of all matrices A such that A∗A is a nonzero multiple of the identity matrix and is just the product of the unitary group with the group of all positive multiples of the identity matrix