This paper elaborates several features of the sum of the cofactor of a determinant and provides the method to calculate the determinant of a Matrix by the sum of the cofactor of a determinant.

给出有关代数余子式之和的几个性质并予以证明，且给出利用代数余子式之和计算行列式的方法。

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The precise critical force of a system can be deduced from the fact that the determinant of stiffness matrix of the system is equal to zero in the critical condition.

由结构刚度矩阵行列式值为零的失稳条件导出结构失稳特征方程，从而精确地确定系统临界力值。

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We've studied that the wide-sense elementary transformation of a matrix, and illustrated its application in determinant calculation, matrix inversion and the rank of a matrix.

我们试对矩阵的广义初等变换作简要阐述并举例说明其在行列式求值、矩阵求逆及矩阵秩的有关证明等方面的应用。

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