中文摘要：

在这份报纸，为 nonsingularity 和线性联合的组逆的一些条件概括， hypergeneralized 投影机被建立。而且，为逆的一些公式和他们的组逆被导出。这份报纸的工作扩大一些以前的结果。

英文摘要：

In this paper, some conditions for the nonsingularity and group inverses of linear combinations of generalized and hypergeneralized projectors are established. Moreover, some formulae for the inverses and group inverses of them are derived. The work of this paper extends some previous results.