A new concept of congruent matrix is introduced in the paper and its equivalent transformations are discussed.
本文引进了同馀矩阵的新概念，并讨论了它的等价变换。
Both congruent and similarity of matrix are equivalence relations.
矩阵的合同关系、相似关系都是等价关系。
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。
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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