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).
In the context of matrices, the term Frobenius matrix can also be used to describe a variant form that deviates from the Identity matrix solely in the elements of one row leading up to the diagonal element, as opposed to the original definition which diverges in a single column beneath the diagonal.