矩阵特征多项式计算的非行列式方法  

Computing Characteristic Polynomial of Matrix without Determinant

作　　者：邓勇[1] 

机构地区：[1]喀什师范学院数学系,新疆喀什844008

出　　处：《喀什师范学院学报》2013年第3期10-12,共3页Journal of Kashgar Teachers College

摘　　要：特征分析是《高等代数》课程的核心内容.为了使矩阵的特征值问题不仅有合理明确的动机,而且能体现联系向量空间和坐标变换的作用,建立利用循环子空间产生不变子空间的新思路,并得到计算矩阵特征多项式的一种非行列式方法.The characteristic analysis is the core content of advanced algebra courses. The new idea on spanning invariant subspace was presented by using the cyclic subspace, and obtained a non-determinant method to calcu- late the matrix characteristic polynomial. The purpose of doing so is that the matrix eigenvalues problem is not only reasonably clear motive, but also embodies the role of the contact vector space and coordinate transformation.

关 键 词：不变子空间 限定算子 相伴矩阵 特征多项式 循环子空间 

分 类 号：O151.21[理学—数学]