矩陣對角化及其應用

矩陣對角化及其應用

摘  要：本文綜述了矩陣可對角化和可同時對角化的條件,討論了可對角化矩陣的基本性質和結論,給出了矩陣對角化在矩陣計算,行列式計算,常微分方程問題等方面的應用.
關鍵詞：矩陣;對角化;對稱矩陣;循環(huán)矩陣;反循環(huán)矩陣;矩陣同時對角化.

Matrix Diagonolization and Application

 
Abstract: In this paper, the conditions of matrix diaholizable and simultaneous diagonolizable have been summarized.The properties and results of diagonal matrices have been discussed .The applications of matrix diagonolization in matrix computation,determinant computation and solving ordinary differential equation have been given.
Keywords:Matrix;Diagonolization;Symmetric matrix;Circular matrix;contra-circular matrix;Simutaneous diagonolization.

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