The present work is devoted to deriving closed form expressions for the elements of Moore-Penrose inverse tridiagonal real skew-symmetric matrices. In first part we obtain results, concerning matrices even order. A calculation approach generalized inverses odd order provided.

Motivated by the representation for Moore-Penrose inverse of block matrix over a *-regular ring presented in [R.E. Hartwig and P. Patr?cio, When does flip? Operators Matrices, 6(1):181-192, 2012], we show that formula is same as expression given [Nieves Castro-Gonz?lez, Jianlong Chen Long Wang, Further results on generalized inverses rings with involution, Elect. J. Linear Algebra, 30:118-134, ...