化方阵为Jordan标准形过渡矩阵的一般形式

NORMAL PATTERN OF TRANSITION MATRIX TO TURN SQUARE MATRIX INTO JORDAN CANONICAL

任意一个方阵Ａ，总存在可逆阵Ｐ，经过相似变换Ｐ－１ＡＰ，可以得到Ｊｏｒｄａｎ标准形，其中过渡矩阵Ｐ不是唯一的，而是无穷多个．矩阵的相似标准形及其过渡矩阵是线性代数、矩阵理论课程中的重要内容，在理论研究和工程技术中都有广泛的应用．本文讨论的是过渡矩阵的一般形式，在理论及教学中都有一定意义．

Any square matrix A can be-transformed into Jordan canonical by the P -1 AP similar transform,where P is the inverse matrix of A and is countless but single.Matrix similar canonical and its transition matrix are the important contents of linear algebras and matrix theory,which have a wide application to theoretical study and engineering.The normal pattern of transition matrix is discussed in this paper.