关于型矩阵的特征值和特征向量的一个说明

A Discussion of Eigenvalues and Eigenvectors about Matrix AB

讨论和型矩阵的特征值和特征向量问题。指出和两个矩阵的非零特征值是相同的,且所对应的特征空间的维数也是相同的,并给出特征向量的表达式,最后给出一个数值例子。这些结论的指出丰富了对型矩阵的认识。

Eigen values and eigenvectors problems matrix AB and BA are discussed in the paper, we point out that the non - zero Eigen values of matrix AB are the same as matrix BA and the dimension of eigen - subspace for matrix AB is the same as matrix BA, and gives expression of eigenvector for matrix AB and BA. Fi- nally we present a numerical example. These conclusions enrich the understanding of the matrix AB and BA.