矩阵可对角化问题是矩阵理论中的一个基本问题 .《数学通报》1990年第 2期刊载的《矩阵可对角化的一个充要条件》一文 [1 ] ,讨论了矩阵可对角化的判定问题 .本文在此基础上 ,对文 [1]中的判定条件加以改进 ,得出更为直接的简单判定 .以下讨论 ,均在一个固定的数域 P中进行 .我 The matrix diagonalization problem is a basic problem in the matrix theory. The paper “A Necessary and Sufficient Condition for Diagonalization of Matrices” published in the 2nd issue of Mathematical Bulletin, 1990 [1] discusses the diagonalization of matrices. On the basis of this, based on this, the judgment conditions in [1] are improved and a more direct simple decision is obtained. The following discussion is performed in a fixed number domain P. I