The explicit expression for the generalized inverse AT,S2 in [6]is utilized in presenting the minors of the generalized inverse AT,S2. Thus, without calculating M-P inverse, weighted M-P inverse, group inverse and Drazin inverse, we are able to find the minors of them. The main results are also the generalization of the results proposed by [5] and [8].
A new proof of the row Cayley-Hamilton theorem for 2-D system was given in this note. In a smdlar way, the Column Cayley-Hamilton theorem was also presented and proved.