The property of companionmatrix 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。
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This paper gives some properties of companionmatrix of polynomial over finite field with its application for evaluating period of linear shift register sequence and minimal length of cyclic code.
This article analyzes a few profound concepts, such as companionmatrix, line vector, column rector, orthogonal matrix, and recommend many qualities, which are difficult to grasp for many students.