The term Frobenius matrix may also be used for an alternative matrix form that differs from an Identity matrix only in the elements of a single row preceding the diagonal entry of that row (as opposed to the above definition which has the matrix differing from the identity matrix in a single column below the diagonal).
The term Frobenius matrix may also be used to describe a variant matrix form that diverges from an Identity matrix only in the elements of a single row preceding the diagonal entry, as opposed to the above definition which differs in a single column below the diagonal.