方阵的秩与特征值的关系

对于n阶方阵而言，秩和特征值都是其重要特征，本文将建立它们之间的联系。通过矩阵的秩，得到矩阵的特征值的相关信息；反过来，通过矩阵的特征值的情况，得到矩阵的秩的取值范围。

For the n-order matrix, rank and characteristic values are the important features, This paper will establish the connection between them. The related information about characteristic value of the matrix is obtained by matrix rank.In turn, By characteristic value of matrix, we can get the value range of the matrix rank.