08/28/2009, 09:10 PM
(08/28/2009, 08:58 PM)bo198214 Wrote: Hm, I dont know whether it has a deeper meaning its just an observation
Hmm, this means, the determinant of this matrix is 1 for finite dimension - which extends then also for iterates/powers.
That the determinant is 1 for finite dimension results also from the determinants of its factors, the stirling- ind the bpascal-matrix. Both are triangular and have units on the diagonal, so
det(fS2F) = det(P) = 1 and det(B) = det(fS2F * P~) = det(fS2F)*det(P~) = 1 *1.
Gottfried Helms, Kassel