Consider matrices $A_1, A_2,..., A_n$ such that they have generalized inverses $B_1, B_2,..., B_n$. (Matrices don't have to be square.)
If $~ \forall i \neq j: {1<i,j<n}, A_i \neq A_j , B_i=B_j$, then in mathematical terminology, what do we call the $A_i$ matrices?