矩阵的合同关系、相似关系都是等价关系。

Both congruent and similarity of matrix are equivalence relations.

youdao

二次型化标准形常采用配方法，而二次型化标准形等价于它的矩阵合同对角化，文中利用初等矩阵和初等变换之间的关系。

Method of completing square is often used when transforming a quadratic form into a normal one, whose process is equivalent to making the relevant matrix contract diagonal.

youdao

而这些成果的取得仅仅是由建立强有力的合作关系和使用预期矩阵等细化合同获得的。

And these results achieved only by building strong relationships and use expected contract obtain refined matrix, etc.

youdao