特征多项式的系数

Coefficients of Characteristic Polynomial

用一种新方法证明了方阵的特征多项式的一般项的系数与该方阵的主子式密切相关.利用该结论和盖尔圆盘定理,证明了0是一类特殊Laplace矩阵的单特征值.

A new method is used to prove that the coefficients in the characteristic polynomial of the square matrix are closely related to the principal minors of the square matrix.Using this conclusion and the Gerschgorin disc theorem,it can be proved that 0 is a single eigenvalue of a special Laplace matrix.