摘要:本文主要是对幂零矩阵的一些性质与结论进行了归纳与总结,并且采用不同的方法分析证明这些性质与结论.利用幂零矩阵的特殊性讨论了三种特殊矩阵的逆的求法,给出了更多方便快捷的方法,并通过例子说明了其在实际中的应用.39419 毕业论文关键词:幂零变换;幂零矩阵;幂零指数;逆矩阵;特征值
The Discussion of Nilpotent Matrix and Nilpotent Transformation
Abstract :This article is mainly to some properties of nilpotent matrix and conclusions are summarized ,and analyses prove that these properties and results using different methods .In this paper ,using the nilpotent matrix particularity discussed three kinds of special matrix inverse method ,given some quick and convenient method.And through the example is given to show is application in practical.
Key words:Nilpotent transformation;Nilpotent Matrix ;Nilpotent Index; Inverse Matrix;Characteristic Number
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