Based on the spectral set of skew-symmetric matrix, the result that a class sign pattern matrix with zero diagonal is unique inertia was proved by using orthogonal similarity transformation.
本文基于反对称矩阵的谱集，采用正交相似变换，得到一类具有零对角的符号模式矩阵具有唯一惯量的结论。
Application of standard form of real symmetric matrix under the orthogonal similarity transformation in matrix problems is given by examples.
通过实例探讨了实对称矩阵的正交相似变换标准形在矩阵问题中的应用。
By means of congruent transformation in matrix, the method of transforming real quadratic form into standard form and the method of normal orthogonal basis are given in this paper.
借助矩阵的合同变换法，给出了化实二次型为标准形的方法、求标准正交基的方法，并给出了正定二次型判定定理的新证明。
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