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1·The property of companion matrix is studied, and the method of calculating the characteristic polynomial of matrix with similar transformation is explained.

研究了友阵的性质，论述了用相似变换计算矩阵特征多项式的方法。

2·This paper gives some properties of companion matrix of polynomial over finite field with its application for evaluating period of linear shift register sequence and minimal length of cyclic code.

本文给出了有限域上多项式的友矩阵的某些性质，及其在计算线性移位寄存器序列的周期和循环码的最小长度的应用。

3·This article analyzes a few profound concepts, such as companion matrix, line vector, column rector, orthogonal matrix, and recommend many qualities, which are difficult to grasp for many students.

本文剖析了线性代数中伴随矩阵、行向量与列向量的乘积、正交矩阵几个较难掌握的概念，由此引出这些概念的一些基本特征和性质。

4·This paper names the race matrix problem, and resolves it using the formula method and the companion method presented by us .

本文命名了赛马矩阵问题，并利用笔者提出的公式化方法和伴随序列法解决了此问题。

5·This paper names the race matrix problem, and resolves it using the formula method and the companion method presented by us.

本文命名了赛马矩阵问题，并利用笔者提出的公式化方法和伴随序列法解决了此问题。