合同变换（congruent transformation）是指在平面到自身的一一变换下，任意线段的长和它的像的长总相等，这种变换也叫做全等变换，或称合同变换。合同变换也是高等代数矩阵理论中基本的交换。
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.
跳槽经历，可能只是几个合同制工作的变换，但是没有加以解释。
Job hopping, which could be contract positions but it's not explained.
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.
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