aI+bJ形矩阵的几个结论

本文论述了al+bJ形矩阵可逆以及正定的充分必要条件,给出了求al+bJ形矩阵的幂以及当al+bJ可逆时求其逆矩阵的幂以及当可逆时求其逆矩阵的计算公式。特别是,给出了一个正交矩阵U,使U'(al+bJ)U为对角形。这些内容都是基本的,但又是很有意义的。

This article deals with the reversible and poositive definte ample essential conditions of al+bJ form matrixs,give the power to extractal+bJ and the calculating formula to extract the converse matrix when al+bJis reversible.Especially.it gives an orthogonal matrixs U,and makes U(al+bJ)Ua di-agonal form,These conteats are essenrial,and also very meaningful.