引入弱可逆矩阵，并用它来刻画矩阵可对角化的充要条件。
This paper introduces the weak invertiable matrix and characterizes the conditions of diagonalization of a matrix by using weak invertiable matrix.
研究弱可逆有限自动机的分解可以为分析有限自动机公开钥密码体制的安全性提供一种重要途径。
It is very important to investigate the decomposition of weakly invertible finite automata, since it could provide an approach to cryptanalyzing finite automata public-key cryptosystem(FAPKC).
在第二部分中，我们研究了较一般情形下前馈逆有限自动机的结构，并且讨论了弱可逆有限自动机的结构。
In the second part, we study the structure of feedforward inverse finite automata in general case, and we also discuss the structure of weakly invertible finite automata.
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