答拜托各位英语高手,帮我把下面这段中文翻译成英文,感激不尽啊!

2024-12-12 00:50:48
推荐回答(2个)
回答1:

Properties and Applications of Nilpotent Matrix
Abstract: A Nilpotent Matrix is a type of special matrix which is of great importance in the matrix theory. It has a number of nice properties. This paper will discuss the relevant properties of Nilpotent Matrices from various aspects of matrices. When combined with Jordan matrices, Nilpotent matrices present an advantageous property that is helpful in solving related matrix problems, and we show this using examples. From the examples, we find problems, think about them, and then come to some conclusions which are very meanlingful for the study of Nilpotent Matrices. It is difficult to compute inverse matrices generally. In this paper we discuss three different methods of computing inverse matrices using the special properties of Nilpotent Matrices.
Keywords: Nilpotent matrices, Jordan matrix, eigenvalue, Nilpotent index.

回答2:

Properties and Applications of Nilpotent Matrix

A Nilpotent Matrix is a type of special matrix which is of great importance in the matrix theory. It has a number of nice properties. This paper will discuss the relevant properties of Nilpotent Matrices from various aspects of matrices. When combined with Jordan matrices, Nilpotent matrices present an advantageous property that is helpful in solving related matrix problems, and we show this using examples. From the examples, we find problems, think about them, and then come to some conclusions which are very meanlingful for the study of Nilpotent Matrices. It is difficult to compute inverse matrices generally. In this paper we discuss three different methods of computing inverse matrices using the special properties of Nilpotent Matrices.

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